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Finding the Third Proportional to 466,974 and 700,461

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Solution

The third proportional to 466,974 and 700,461 is: 1,050,691.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,974 : 700,461 = 700,461 : x
  2. Step 2: Convert to fraction form
    466,974/700,461 = 700,461/x
  3. Step 3: Cross multiply
    466,974x = 700,461 × 700,461
  4. Step 4: Simplify right side
    466,974x = 490,645,612,521
  5. Step 5: Solve for x
    x = 490,645,612,521/466,974
  6. Step 6: Final answer
    x = 1,050,691.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.