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Finding the Third Proportional to 403,810 and 597,908

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Solution

The third proportional to 403,810 and 597,908 is: 885,302.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,810 : 597,908 = 597,908 : x
  2. Step 2: Convert to fraction form
    403,810/597,908 = 597,908/x
  3. Step 3: Cross multiply
    403,810x = 597,908 × 597,908
  4. Step 4: Simplify right side
    403,810x = 357,493,976,464
  5. Step 5: Solve for x
    x = 357,493,976,464/403,810
  6. Step 6: Final answer
    x = 885,302.44

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.