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Finding the Third Proportional to 359,184.38 and 563,567.63

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Solution

The third proportional to 359,184.38 and 563,567.63 is: 884,249.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,184.38 : 563,567.63 = 563,567.63 : x
  2. Step 2: Convert to fraction form
    359,184.38/563,567.63 = 563,567.63/x
  3. Step 3: Cross multiply
    359,184.38x = 563,567.63 × 563,567.63
  4. Step 4: Simplify right side
    359,184.38x = 317,608,467,948.14
  5. Step 5: Solve for x
    x = 317,608,467,948.14/359,184.38
  6. Step 6: Final answer
    x = 884,249.12

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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.