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Finding the Third Proportional to 472,765 and 707,476.75

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Solution

The third proportional to 472,765 and 707,476.75 is: 1,058,714.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,765 : 707,476.75 = 707,476.75 : x
  2. Step 2: Convert to fraction form
    472,765/707,476.75 = 707,476.75/x
  3. Step 3: Cross multiply
    472,765x = 707,476.75 × 707,476.75
  4. Step 4: Simplify right side
    472,765x = 500,523,351,790.56
  5. Step 5: Solve for x
    x = 500,523,351,790.56/472,765
  6. Step 6: Final answer
    x = 1,058,714.90

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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.