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Finding the Third Proportional to 499,565 and 761,862

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Solution

The third proportional to 499,565 and 761,862 is: 1,161,878.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,565 : 761,862 = 761,862 : x
  2. Step 2: Convert to fraction form
    499,565/761,862 = 761,862/x
  3. Step 3: Cross multiply
    499,565x = 761,862 × 761,862
  4. Step 4: Simplify right side
    499,565x = 580,433,707,044
  5. Step 5: Solve for x
    x = 580,433,707,044/499,565
  6. Step 6: Final answer
    x = 1,161,878.25

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.