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Finding the Third Proportional to 472,695.75 and 679,518

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Solution

The third proportional to 472,695.75 and 679,518 is: 976,832.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,695.75 : 679,518 = 679,518 : x
  2. Step 2: Convert to fraction form
    472,695.75/679,518 = 679,518/x
  3. Step 3: Cross multiply
    472,695.75x = 679,518 × 679,518
  4. Step 4: Simplify right side
    472,695.75x = 461,744,712,324
  5. Step 5: Solve for x
    x = 461,744,712,324/472,695.75
  6. Step 6: Final answer
    x = 976,832.80

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.