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Finding the Third Proportional to 359,283 and 563,609

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Solution

The third proportional to 359,283 and 563,609 is: 884,136.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,283 : 563,609 = 563,609 : x
  2. Step 2: Convert to fraction form
    359,283/563,609 = 563,609/x
  3. Step 3: Cross multiply
    359,283x = 563,609 × 563,609
  4. Step 4: Simplify right side
    359,283x = 317,655,104,881
  5. Step 5: Solve for x
    x = 317,655,104,881/359,283
  6. Step 6: Final answer
    x = 884,136.20

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