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Finding the Third Proportional to 464,001 and 705,723

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Solution

The third proportional to 464,001 and 705,723 is: 1,073,370.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,001 : 705,723 = 705,723 : x
  2. Step 2: Convert to fraction form
    464,001/705,723 = 705,723/x
  3. Step 3: Cross multiply
    464,001x = 705,723 × 705,723
  4. Step 4: Simplify right side
    464,001x = 498,044,952,729
  5. Step 5: Solve for x
    x = 498,044,952,729/464,001
  6. Step 6: Final answer
    x = 1,073,370.43

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.