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Finding the Third Proportional to 338,878.69 and 524,728.13

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Solution

The third proportional to 338,878.69 and 524,728.13 is: 812,501.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,878.69 : 524,728.13 = 524,728.13 : x
  2. Step 2: Convert to fraction form
    338,878.69/524,728.13 = 524,728.13/x
  3. Step 3: Cross multiply
    338,878.69x = 524,728.13 × 524,728.13
  4. Step 4: Simplify right side
    338,878.69x = 275,339,605,166.02
  5. Step 5: Solve for x
    x = 275,339,605,166.02/338,878.69
  6. Step 6: Final answer
    x = 812,501.98

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.