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Finding the Third Proportional to 413,632.50 and 563,909.50

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Solution

The third proportional to 413,632.50 and 563,909.50 is: 768,783.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,632.50 : 563,909.50 = 563,909.50 : x
  2. Step 2: Convert to fraction form
    413,632.50/563,909.50 = 563,909.50/x
  3. Step 3: Cross multiply
    413,632.50x = 563,909.50 × 563,909.50
  4. Step 4: Simplify right side
    413,632.50x = 317,993,924,190.25
  5. Step 5: Solve for x
    x = 317,993,924,190.25/413,632.50
  6. Step 6: Final answer
    x = 768,783.70

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.