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Finding the Third Proportional to 466,932 and 655,746

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Solution

The third proportional to 466,932 and 655,746 is: 920,911.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,932 : 655,746 = 655,746 : x
  2. Step 2: Convert to fraction form
    466,932/655,746 = 655,746/x
  3. Step 3: Cross multiply
    466,932x = 655,746 × 655,746
  4. Step 4: Simplify right side
    466,932x = 430,002,816,516
  5. Step 5: Solve for x
    x = 430,002,816,516/466,932
  6. Step 6: Final answer
    x = 920,911.00

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.