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Finding the Third Proportional to 457,948 and 700,521

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Solution

The third proportional to 457,948 and 700,521 is: 1,071,583.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,948 : 700,521 = 700,521 : x
  2. Step 2: Convert to fraction form
    457,948/700,521 = 700,521/x
  3. Step 3: Cross multiply
    457,948x = 700,521 × 700,521
  4. Step 4: Simplify right side
    457,948x = 490,729,671,441
  5. Step 5: Solve for x
    x = 490,729,671,441/457,948
  6. Step 6: Final answer
    x = 1,071,583.83

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.