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Finding the Third Proportional to 403,481 and 606,963

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Solution

The third proportional to 403,481 and 606,963 is: 913,064.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,481 : 606,963 = 606,963 : x
  2. Step 2: Convert to fraction form
    403,481/606,963 = 606,963/x
  3. Step 3: Cross multiply
    403,481x = 606,963 × 606,963
  4. Step 4: Simplify right side
    403,481x = 368,404,083,369
  5. Step 5: Solve for x
    x = 368,404,083,369/403,481
  6. Step 6: Final answer
    x = 913,064.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.