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Finding the Third Proportional to 581,650 and 875,391

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Solution

The third proportional to 581,650 and 875,391 is: 1,317,475.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    581,650 : 875,391 = 875,391 : x
  2. Step 2: Convert to fraction form
    581,650/875,391 = 875,391/x
  3. Step 3: Cross multiply
    581,650x = 875,391 × 875,391
  4. Step 4: Simplify right side
    581,650x = 766,309,402,881
  5. Step 5: Solve for x
    x = 766,309,402,881/581,650
  6. Step 6: Final answer
    x = 1,317,475.12

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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.