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Finding the Third Proportional to 341,742 and 791,139

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Solution

The third proportional to 341,742 and 791,139 is: 1,831,501.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,742 : 791,139 = 791,139 : x
  2. Step 2: Convert to fraction form
    341,742/791,139 = 791,139/x
  3. Step 3: Cross multiply
    341,742x = 791,139 × 791,139
  4. Step 4: Simplify right side
    341,742x = 625,900,917,321
  5. Step 5: Solve for x
    x = 625,900,917,321/341,742
  6. Step 6: Final answer
    x = 1,831,501.30

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.