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Finding the Third Proportional to 472,878 and 707,649

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Solution

The third proportional to 472,878 and 707,649 is: 1,058,977.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,878 : 707,649 = 707,649 : x
  2. Step 2: Convert to fraction form
    472,878/707,649 = 707,649/x
  3. Step 3: Cross multiply
    472,878x = 707,649 × 707,649
  4. Step 4: Simplify right side
    472,878x = 500,767,107,201
  5. Step 5: Solve for x
    x = 500,767,107,201/472,878
  6. Step 6: Final answer
    x = 1,058,977.38

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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.