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Finding the Third Proportional to 466,254 and 696,502

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Solution

The third proportional to 466,254 and 696,502 is: 1,040,452.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,254 : 696,502 = 696,502 : x
  2. Step 2: Convert to fraction form
    466,254/696,502 = 696,502/x
  3. Step 3: Cross multiply
    466,254x = 696,502 × 696,502
  4. Step 4: Simplify right side
    466,254x = 485,115,036,004
  5. Step 5: Solve for x
    x = 485,115,036,004/466,254
  6. Step 6: Final answer
    x = 1,040,452.28

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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.