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Finding the Third Proportional to 403,596 and 608,466

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Solution

The third proportional to 403,596 and 608,466 is: 917,330.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,596 : 608,466 = 608,466 : x
  2. Step 2: Convert to fraction form
    403,596/608,466 = 608,466/x
  3. Step 3: Cross multiply
    403,596x = 608,466 × 608,466
  4. Step 4: Simplify right side
    403,596x = 370,230,873,156
  5. Step 5: Solve for x
    x = 370,230,873,156/403,596
  6. Step 6: Final answer
    x = 917,330.38

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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.