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Finding the Third Proportional to 585,382 and 875,577

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Solution

The third proportional to 585,382 and 875,577 is: 1,309,632.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,382 : 875,577 = 875,577 : x
  2. Step 2: Convert to fraction form
    585,382/875,577 = 875,577/x
  3. Step 3: Cross multiply
    585,382x = 875,577 × 875,577
  4. Step 4: Simplify right side
    585,382x = 766,635,082,929
  5. Step 5: Solve for x
    x = 766,635,082,929/585,382
  6. Step 6: Final answer
    x = 1,309,632.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.