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Finding the Third Proportional to 581,588 and 875,292

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Solution

The third proportional to 581,588 and 875,292 is: 1,317,317.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    581,588 : 875,292 = 875,292 : x
  2. Step 2: Convert to fraction form
    581,588/875,292 = 875,292/x
  3. Step 3: Cross multiply
    581,588x = 875,292 × 875,292
  4. Step 4: Simplify right side
    581,588x = 766,136,085,264
  5. Step 5: Solve for x
    x = 766,136,085,264/581,588
  6. Step 6: Final answer
    x = 1,317,317.56

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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.