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Finding the Third Proportional to 327,445 and 715,762

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Solution

The third proportional to 327,445 and 715,762 is: 1,564,584.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,445 : 715,762 = 715,762 : x
  2. Step 2: Convert to fraction form
    327,445/715,762 = 715,762/x
  3. Step 3: Cross multiply
    327,445x = 715,762 × 715,762
  4. Step 4: Simplify right side
    327,445x = 512,315,240,644
  5. Step 5: Solve for x
    x = 512,315,240,644/327,445
  6. Step 6: Final answer
    x = 1,564,584.10

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.