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Finding the Third Proportional to 359,283 and 563,610

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Solution

The third proportional to 359,283 and 563,610 is: 884,139.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,283 : 563,610 = 563,610 : x
  2. Step 2: Convert to fraction form
    359,283/563,610 = 563,610/x
  3. Step 3: Cross multiply
    359,283x = 563,610 × 563,610
  4. Step 4: Simplify right side
    359,283x = 317,656,232,100
  5. Step 5: Solve for x
    x = 317,656,232,100/359,283
  6. Step 6: Final answer
    x = 884,139.33

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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.