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Finding the Third Proportional to 359,169.75 and 563,539.50

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Solution

The third proportional to 359,169.75 and 563,539.50 is: 884,196.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,169.75 : 563,539.50 = 563,539.50 : x
  2. Step 2: Convert to fraction form
    359,169.75/563,539.50 = 563,539.50/x
  3. Step 3: Cross multiply
    359,169.75x = 563,539.50 × 563,539.50
  4. Step 4: Simplify right side
    359,169.75x = 317,576,768,060.25
  5. Step 5: Solve for x
    x = 317,576,768,060.25/359,169.75
  6. Step 6: Final answer
    x = 884,196.87

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.