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Finding the Third Proportional to 531,690.75 and 794,059.88

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Solution

The third proportional to 531,690.75 and 794,059.88 is: 1,185,898.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,690.75 : 794,059.88 = 794,059.88 : x
  2. Step 2: Convert to fraction form
    531,690.75/794,059.88 = 794,059.88/x
  3. Step 3: Cross multiply
    531,690.75x = 794,059.88 × 794,059.88
  4. Step 4: Simplify right side
    531,690.75x = 630,531,085,085.02
  5. Step 5: Solve for x
    x = 630,531,085,085.02/531,690.75
  6. Step 6: Final answer
    x = 1,185,898.17

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.