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Finding the Third Proportional to 359,286 and 563,613

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Solution

The third proportional to 359,286 and 563,613 is: 884,141.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,286 : 563,613 = 563,613 : x
  2. Step 2: Convert to fraction form
    359,286/563,613 = 563,613/x
  3. Step 3: Cross multiply
    359,286x = 563,613 × 563,613
  4. Step 4: Simplify right side
    359,286x = 317,659,613,769
  5. Step 5: Solve for x
    x = 317,659,613,769/359,286
  6. Step 6: Final answer
    x = 884,141.36

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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.