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Finding the Third Proportional to 581,648 and 875,388

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Solution

The third proportional to 581,648 and 875,388 is: 1,317,470.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    581,648 : 875,388 = 875,388 : x
  2. Step 2: Convert to fraction form
    581,648/875,388 = 875,388/x
  3. Step 3: Cross multiply
    581,648x = 875,388 × 875,388
  4. Step 4: Simplify right side
    581,648x = 766,304,150,544
  5. Step 5: Solve for x
    x = 766,304,150,544/581,648
  6. Step 6: Final answer
    x = 1,317,470.62

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.