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Finding the Third Proportional to 334,572 and 721,680

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Solution

The third proportional to 334,572 and 721,680 is: 1,556,681.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,572 : 721,680 = 721,680 : x
  2. Step 2: Convert to fraction form
    334,572/721,680 = 721,680/x
  3. Step 3: Cross multiply
    334,572x = 721,680 × 721,680
  4. Step 4: Simplify right side
    334,572x = 520,822,022,400
  5. Step 5: Solve for x
    x = 520,822,022,400/334,572
  6. Step 6: Final answer
    x = 1,556,681.44

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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.