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Finding the Third Proportional to 404,547.06 and 614,201.48

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Solution

The third proportional to 404,547.06 and 614,201.48 is: 932,508.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,547.06 : 614,201.48 = 614,201.48 : x
  2. Step 2: Convert to fraction form
    404,547.06/614,201.48 = 614,201.48/x
  3. Step 3: Cross multiply
    404,547.06x = 614,201.48 × 614,201.48
  4. Step 4: Simplify right side
    404,547.06x = 377,243,463,408.45
  5. Step 5: Solve for x
    x = 377,243,463,408.45/404,547.06
  6. Step 6: Final answer
    x = 932,508.22

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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.