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Finding the Third Proportional to 466,922 and 724,383

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Solution

The third proportional to 466,922 and 724,383 is: 1,123,808.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,922 : 724,383 = 724,383 : x
  2. Step 2: Convert to fraction form
    466,922/724,383 = 724,383/x
  3. Step 3: Cross multiply
    466,922x = 724,383 × 724,383
  4. Step 4: Simplify right side
    466,922x = 524,730,730,689
  5. Step 5: Solve for x
    x = 524,730,730,689/466,922
  6. Step 6: Final answer
    x = 1,123,808.11

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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.