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Finding the Third Proportional to 336,996 and 506,862

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Solution

The third proportional to 336,996 and 506,862 is: 762,350.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,996 : 506,862 = 506,862 : x
  2. Step 2: Convert to fraction form
    336,996/506,862 = 506,862/x
  3. Step 3: Cross multiply
    336,996x = 506,862 × 506,862
  4. Step 4: Simplify right side
    336,996x = 256,909,087,044
  5. Step 5: Solve for x
    x = 256,909,087,044/336,996
  6. Step 6: Final answer
    x = 762,350.55

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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.