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Finding the Third Proportional to 403,497 and 606,987

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Solution

The third proportional to 403,497 and 606,987 is: 913,100.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,497 : 606,987 = 606,987 : x
  2. Step 2: Convert to fraction form
    403,497/606,987 = 606,987/x
  3. Step 3: Cross multiply
    403,497x = 606,987 × 606,987
  4. Step 4: Simplify right side
    403,497x = 368,433,218,169
  5. Step 5: Solve for x
    x = 368,433,218,169/403,497
  6. Step 6: Final answer
    x = 913,100.27

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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.