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Finding the Third Proportional to 466,215 and 696,446

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Solution

The third proportional to 466,215 and 696,446 is: 1,040,372.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,215 : 696,446 = 696,446 : x
  2. Step 2: Convert to fraction form
    466,215/696,446 = 696,446/x
  3. Step 3: Cross multiply
    466,215x = 696,446 × 696,446
  4. Step 4: Simplify right side
    466,215x = 485,037,030,916
  5. Step 5: Solve for x
    x = 485,037,030,916/466,215
  6. Step 6: Final answer
    x = 1,040,372.00

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.