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Finding the Third Proportional to 334,539 and 721,566

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Solution

The third proportional to 334,539 and 721,566 is: 1,556,343.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,539 : 721,566 = 721,566 : x
  2. Step 2: Convert to fraction form
    334,539/721,566 = 721,566/x
  3. Step 3: Cross multiply
    334,539x = 721,566 × 721,566
  4. Step 4: Simplify right side
    334,539x = 520,657,492,356
  5. Step 5: Solve for x
    x = 520,657,492,356/334,539
  6. Step 6: Final answer
    x = 1,556,343.18

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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.