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Finding the Third Proportional to 334,215.75 and 721,706.25

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Solution

The third proportional to 334,215.75 and 721,706.25 is: 1,558,454.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,215.75 : 721,706.25 = 721,706.25 : x
  2. Step 2: Convert to fraction form
    334,215.75/721,706.25 = 721,706.25/x
  3. Step 3: Cross multiply
    334,215.75x = 721,706.25 × 721,706.25
  4. Step 4: Simplify right side
    334,215.75x = 520,859,911,289.06
  5. Step 5: Solve for x
    x = 520,859,911,289.06/334,215.75
  6. Step 6: Final answer
    x = 1,558,454.12

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.