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Finding the Third Proportional to 466,970 and 700,463

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Solution

The third proportional to 466,970 and 700,463 is: 1,050,706.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,970 : 700,463 = 700,463 : x
  2. Step 2: Convert to fraction form
    466,970/700,463 = 700,463/x
  3. Step 3: Cross multiply
    466,970x = 700,463 × 700,463
  4. Step 4: Simplify right side
    466,970x = 490,648,414,369
  5. Step 5: Solve for x
    x = 490,648,414,369/466,970
  6. Step 6: Final answer
    x = 1,050,706.50

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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.