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Finding the Third Proportional to 581,584 and 875,286

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Solution

The third proportional to 581,584 and 875,286 is: 1,317,308.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    581,584 : 875,286 = 875,286 : x
  2. Step 2: Convert to fraction form
    581,584/875,286 = 875,286/x
  3. Step 3: Cross multiply
    581,584x = 875,286 × 875,286
  4. Step 4: Simplify right side
    581,584x = 766,125,581,796
  5. Step 5: Solve for x
    x = 766,125,581,796/581,584
  6. Step 6: Final answer
    x = 1,317,308.56

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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.