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Finding the Third Proportional to 348,853 and 753,470

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Solution

The third proportional to 348,853 and 753,470 is: 1,627,381.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,853 : 753,470 = 753,470 : x
  2. Step 2: Convert to fraction form
    348,853/753,470 = 753,470/x
  3. Step 3: Cross multiply
    348,853x = 753,470 × 753,470
  4. Step 4: Simplify right side
    348,853x = 567,717,040,900
  5. Step 5: Solve for x
    x = 567,717,040,900/348,853
  6. Step 6: Final answer
    x = 1,627,381.85

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.