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Finding the Third Proportional to 454,466 and 705,655

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Solution

The third proportional to 454,466 and 705,655 is: 1,095,679.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,466 : 705,655 = 705,655 : x
  2. Step 2: Convert to fraction form
    454,466/705,655 = 705,655/x
  3. Step 3: Cross multiply
    454,466x = 705,655 × 705,655
  4. Step 4: Simplify right side
    454,466x = 497,948,979,025
  5. Step 5: Solve for x
    x = 497,948,979,025/454,466
  6. Step 6: Final answer
    x = 1,095,679.28

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.