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Finding the Third Proportional to 359,642 and 787,011.50

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Solution

The third proportional to 359,642 and 787,011.50 is: 1,722,232.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,642 : 787,011.50 = 787,011.50 : x
  2. Step 2: Convert to fraction form
    359,642/787,011.50 = 787,011.50/x
  3. Step 3: Cross multiply
    359,642x = 787,011.50 × 787,011.50
  4. Step 4: Simplify right side
    359,642x = 619,387,101,132.25
  5. Step 5: Solve for x
    x = 619,387,101,132.25/359,642
  6. Step 6: Final answer
    x = 1,722,232.39

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.