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Finding the Third Proportional to 344,789 and 731,047

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Solution

The third proportional to 344,789 and 731,047 is: 1,550,019.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,789 : 731,047 = 731,047 : x
  2. Step 2: Convert to fraction form
    344,789/731,047 = 731,047/x
  3. Step 3: Cross multiply
    344,789x = 731,047 × 731,047
  4. Step 4: Simplify right side
    344,789x = 534,429,716,209
  5. Step 5: Solve for x
    x = 534,429,716,209/344,789
  6. Step 6: Final answer
    x = 1,550,019.62

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.