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Finding the Third Proportional to 382,569.75 and 595,117.13

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Solution

The third proportional to 382,569.75 and 595,117.13 is: 925,751.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,569.75 : 595,117.13 = 595,117.13 : x
  2. Step 2: Convert to fraction form
    382,569.75/595,117.13 = 595,117.13/x
  3. Step 3: Cross multiply
    382,569.75x = 595,117.13 × 595,117.13
  4. Step 4: Simplify right side
    382,569.75x = 354,164,392,468.27
  5. Step 5: Solve for x
    x = 354,164,392,468.27/382,569.75
  6. Step 6: Final answer
    x = 925,751.17

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.