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Finding the Third Proportional to 334,222 and 721,708

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Solution

The third proportional to 334,222 and 721,708 is: 1,558,432.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,222 : 721,708 = 721,708 : x
  2. Step 2: Convert to fraction form
    334,222/721,708 = 721,708/x
  3. Step 3: Cross multiply
    334,222x = 721,708 × 721,708
  4. Step 4: Simplify right side
    334,222x = 520,862,437,264
  5. Step 5: Solve for x
    x = 520,862,437,264/334,222
  6. Step 6: Final answer
    x = 1,558,432.53

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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.