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Finding the Third Proportional to 384,148.13 and 563,763.38

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Solution

The third proportional to 384,148.13 and 563,763.38 is: 827,360.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,148.13 : 563,763.38 = 563,763.38 : x
  2. Step 2: Convert to fraction form
    384,148.13/563,763.38 = 563,763.38/x
  3. Step 3: Cross multiply
    384,148.13x = 563,763.38 × 563,763.38
  4. Step 4: Simplify right side
    384,148.13x = 317,829,142,991.39
  5. Step 5: Solve for x
    x = 317,829,142,991.39/384,148.13
  6. Step 6: Final answer
    x = 827,360.91

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.