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Finding the Third Proportional to 348,291 and 711,339

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Solution

The third proportional to 348,291 and 711,339 is: 1,452,817.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,291 : 711,339 = 711,339 : x
  2. Step 2: Convert to fraction form
    348,291/711,339 = 711,339/x
  3. Step 3: Cross multiply
    348,291x = 711,339 × 711,339
  4. Step 4: Simplify right side
    348,291x = 506,003,172,921
  5. Step 5: Solve for x
    x = 506,003,172,921/348,291
  6. Step 6: Final answer
    x = 1,452,817.25

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.