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Finding the Third Proportional to 581,570 and 875,267

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Solution

The third proportional to 581,570 and 875,267 is: 1,317,283.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    581,570 : 875,267 = 875,267 : x
  2. Step 2: Convert to fraction form
    581,570/875,267 = 875,267/x
  3. Step 3: Cross multiply
    581,570x = 875,267 × 875,267
  4. Step 4: Simplify right side
    581,570x = 766,092,321,289
  5. Step 5: Solve for x
    x = 766,092,321,289/581,570
  6. Step 6: Final answer
    x = 1,317,283.08

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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.