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Finding the Third Proportional to 304,661.25 and 473,860.13

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Solution

The third proportional to 304,661.25 and 473,860.13 is: 737,026.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,661.25 : 473,860.13 = 473,860.13 : x
  2. Step 2: Convert to fraction form
    304,661.25/473,860.13 = 473,860.13/x
  3. Step 3: Cross multiply
    304,661.25x = 473,860.13 × 473,860.13
  4. Step 4: Simplify right side
    304,661.25x = 224,543,418,065.02
  5. Step 5: Solve for x
    x = 224,543,418,065.02/304,661.25
  6. Step 6: Final answer
    x = 737,026.51

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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.