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Finding the Third Proportional to 466,116 and 705,474

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Solution

The third proportional to 466,116 and 705,474 is: 1,067,746.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,116 : 705,474 = 705,474 : x
  2. Step 2: Convert to fraction form
    466,116/705,474 = 705,474/x
  3. Step 3: Cross multiply
    466,116x = 705,474 × 705,474
  4. Step 4: Simplify right side
    466,116x = 497,693,564,676
  5. Step 5: Solve for x
    x = 497,693,564,676/466,116
  6. Step 6: Final answer
    x = 1,067,746.15

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.