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Finding the Third Proportional to 472,843.50 and 707,595

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Solution

The third proportional to 472,843.50 and 707,595 is: 1,058,893.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,843.50 : 707,595 = 707,595 : x
  2. Step 2: Convert to fraction form
    472,843.50/707,595 = 707,595/x
  3. Step 3: Cross multiply
    472,843.50x = 707,595 × 707,595
  4. Step 4: Simplify right side
    472,843.50x = 500,690,684,025
  5. Step 5: Solve for x
    x = 500,690,684,025/472,843.50
  6. Step 6: Final answer
    x = 1,058,893.02

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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.