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Finding the Third Proportional to 403,517 and 608,300

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Solution

The third proportional to 403,517 and 608,300 is: 917,009.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,517 : 608,300 = 608,300 : x
  2. Step 2: Convert to fraction form
    403,517/608,300 = 608,300/x
  3. Step 3: Cross multiply
    403,517x = 608,300 × 608,300
  4. Step 4: Simplify right side
    403,517x = 370,028,890,000
  5. Step 5: Solve for x
    x = 370,028,890,000/403,517
  6. Step 6: Final answer
    x = 917,009.42

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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.