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Finding the Third Proportional to 377,335.13 and 560,864.25

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Solution

The third proportional to 377,335.13 and 560,864.25 is: 833,658.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,335.13 : 560,864.25 = 560,864.25 : x
  2. Step 2: Convert to fraction form
    377,335.13/560,864.25 = 560,864.25/x
  3. Step 3: Cross multiply
    377,335.13x = 560,864.25 × 560,864.25
  4. Step 4: Simplify right side
    377,335.13x = 314,568,706,928.06
  5. Step 5: Solve for x
    x = 314,568,706,928.06/377,335.13
  6. Step 6: Final answer
    x = 833,658.69

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.