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Finding the Third Proportional to 327,984 and 707,646

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Solution

The third proportional to 327,984 and 707,646 is: 1,526,790.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,984 : 707,646 = 707,646 : x
  2. Step 2: Convert to fraction form
    327,984/707,646 = 707,646/x
  3. Step 3: Cross multiply
    327,984x = 707,646 × 707,646
  4. Step 4: Simplify right side
    327,984x = 500,762,861,316
  5. Step 5: Solve for x
    x = 500,762,861,316/327,984
  6. Step 6: Final answer
    x = 1,526,790.52

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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.