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Finding the Third Proportional to 581,568 and 875,264

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Solution

The third proportional to 581,568 and 875,264 is: 1,317,278.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    581,568 : 875,264 = 875,264 : x
  2. Step 2: Convert to fraction form
    581,568/875,264 = 875,264/x
  3. Step 3: Cross multiply
    581,568x = 875,264 × 875,264
  4. Step 4: Simplify right side
    581,568x = 766,087,069,696
  5. Step 5: Solve for x
    x = 766,087,069,696/581,568
  6. Step 6: Final answer
    x = 1,317,278.58

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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.