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Finding the Third Proportional to 404,726 and 613,139

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Solution

The third proportional to 404,726 and 613,139 is: 928,873.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,726 : 613,139 = 613,139 : x
  2. Step 2: Convert to fraction form
    404,726/613,139 = 613,139/x
  3. Step 3: Cross multiply
    404,726x = 613,139 × 613,139
  4. Step 4: Simplify right side
    404,726x = 375,939,433,321
  5. Step 5: Solve for x
    x = 375,939,433,321/404,726
  6. Step 6: Final answer
    x = 928,873.94

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.