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Finding the Third Proportional to 328,842 and 707,591

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Solution

The third proportional to 328,842 and 707,591 is: 1,522,570.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,842 : 707,591 = 707,591 : x
  2. Step 2: Convert to fraction form
    328,842/707,591 = 707,591/x
  3. Step 3: Cross multiply
    328,842x = 707,591 × 707,591
  4. Step 4: Simplify right side
    328,842x = 500,685,023,281
  5. Step 5: Solve for x
    x = 500,685,023,281/328,842
  6. Step 6: Final answer
    x = 1,522,570.18

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.