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Finding the Third Proportional to 513,438 and 799,164

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Solution

The third proportional to 513,438 and 799,164 is: 1,243,895.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,438 : 799,164 = 799,164 : x
  2. Step 2: Convert to fraction form
    513,438/799,164 = 799,164/x
  3. Step 3: Cross multiply
    513,438x = 799,164 × 799,164
  4. Step 4: Simplify right side
    513,438x = 638,663,098,896
  5. Step 5: Solve for x
    x = 638,663,098,896/513,438
  6. Step 6: Final answer
    x = 1,243,895.27

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.