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Finding the Third Proportional to 359,748 and 832,918

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Solution

The third proportional to 359,748 and 832,918 is: 1,928,439.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,748 : 832,918 = 832,918 : x
  2. Step 2: Convert to fraction form
    359,748/832,918 = 832,918/x
  3. Step 3: Cross multiply
    359,748x = 832,918 × 832,918
  4. Step 4: Simplify right side
    359,748x = 693,752,394,724
  5. Step 5: Solve for x
    x = 693,752,394,724/359,748
  6. Step 6: Final answer
    x = 1,928,439.89

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.