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Finding the Third Proportional to 404,043.13 and 602,561.38

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Solution

The third proportional to 404,043.13 and 602,561.38 is: 898,617.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,043.13 : 602,561.38 = 602,561.38 : x
  2. Step 2: Convert to fraction form
    404,043.13/602,561.38 = 602,561.38/x
  3. Step 3: Cross multiply
    404,043.13x = 602,561.38 × 602,561.38
  4. Step 4: Simplify right side
    404,043.13x = 363,080,210,641.89
  5. Step 5: Solve for x
    x = 363,080,210,641.89/404,043.13
  6. Step 6: Final answer
    x = 898,617.47

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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.