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Finding the Third Proportional to 336,702 and 748,143

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Solution

The third proportional to 336,702 and 748,143 is: 1,662,354.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,702 : 748,143 = 748,143 : x
  2. Step 2: Convert to fraction form
    336,702/748,143 = 748,143/x
  3. Step 3: Cross multiply
    336,702x = 748,143 × 748,143
  4. Step 4: Simplify right side
    336,702x = 559,717,948,449
  5. Step 5: Solve for x
    x = 559,717,948,449/336,702
  6. Step 6: Final answer
    x = 1,662,354.09

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.