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Finding the Third Proportional to 385,104.38 and 563,395.50

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Solution

The third proportional to 385,104.38 and 563,395.50 is: 824,229.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,104.38 : 563,395.50 = 563,395.50 : x
  2. Step 2: Convert to fraction form
    385,104.38/563,395.50 = 563,395.50/x
  3. Step 3: Cross multiply
    385,104.38x = 563,395.50 × 563,395.50
  4. Step 4: Simplify right side
    385,104.38x = 317,414,489,420.25
  5. Step 5: Solve for x
    x = 317,414,489,420.25/385,104.38
  6. Step 6: Final answer
    x = 824,229.77

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.