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Finding the Third Proportional to 473,593.88 and 722,210.16

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Solution

The third proportional to 473,593.88 and 722,210.16 is: 1,101,339.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,593.88 : 722,210.16 = 722,210.16 : x
  2. Step 2: Convert to fraction form
    473,593.88/722,210.16 = 722,210.16/x
  3. Step 3: Cross multiply
    473,593.88x = 722,210.16 × 722,210.16
  4. Step 4: Simplify right side
    473,593.88x = 521,587,509,790.65
  5. Step 5: Solve for x
    x = 521,587,509,790.65/473,593.88
  6. Step 6: Final answer
    x = 1,101,339.22

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.