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Finding the Third Proportional to 404,032.69 and 625,590.56

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Solution

The third proportional to 404,032.69 and 625,590.56 is: 968,643.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,032.69 : 625,590.56 = 625,590.56 : x
  2. Step 2: Convert to fraction form
    404,032.69/625,590.56 = 625,590.56/x
  3. Step 3: Cross multiply
    404,032.69x = 625,590.56 × 625,590.56
  4. Step 4: Simplify right side
    404,032.69x = 391,363,551,889.07
  5. Step 5: Solve for x
    x = 391,363,551,889.07/404,032.69
  6. Step 6: Final answer
    x = 968,643.29

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