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Finding the Third Proportional to 457,914 and 700,467

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Solution

The third proportional to 457,914 and 700,467 is: 1,071,498.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,914 : 700,467 = 700,467 : x
  2. Step 2: Convert to fraction form
    457,914/700,467 = 700,467/x
  3. Step 3: Cross multiply
    457,914x = 700,467 × 700,467
  4. Step 4: Simplify right side
    457,914x = 490,654,018,089
  5. Step 5: Solve for x
    x = 490,654,018,089/457,914
  6. Step 6: Final answer
    x = 1,071,498.18

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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.