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Finding the Third Proportional to 403,594 and 608,463

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Solution

The third proportional to 403,594 and 608,463 is: 917,325.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,594 : 608,463 = 608,463 : x
  2. Step 2: Convert to fraction form
    403,594/608,463 = 608,463/x
  3. Step 3: Cross multiply
    403,594x = 608,463 × 608,463
  4. Step 4: Simplify right side
    403,594x = 370,227,222,369
  5. Step 5: Solve for x
    x = 370,227,222,369/403,594
  6. Step 6: Final answer
    x = 917,325.88

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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.