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Finding the Third Proportional to 339,550,612.88 and 727,506,643.50

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Solution

The third proportional to 339,550,612.88 and 727,506,643.50 is: 1,558,724,668.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,550,612.88 : 727,506,643.50 = 727,506,643.50 : x
  2. Step 2: Convert to fraction form
    339,550,612.88/727,506,643.50 = 727,506,643.50/x
  3. Step 3: Cross multiply
    339,550,612.88x = 727,506,643.50 × 727,506,643.50
  4. Step 4: Simplify right side
    339,550,612.88x = 529,265,916,336,636,096
  5. Step 5: Solve for x
    x = 529,265,916,336,636,096/339,550,612.88
  6. Step 6: Final answer
    x = 1,558,724,668.04

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.