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Finding the Third Proportional to 261,510.19 and 404,100.56

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Solution

The third proportional to 261,510.19 and 404,100.56 is: 624,439.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,510.19 : 404,100.56 = 404,100.56 : x
  2. Step 2: Convert to fraction form
    261,510.19/404,100.56 = 404,100.56/x
  3. Step 3: Cross multiply
    261,510.19x = 404,100.56 × 404,100.56
  4. Step 4: Simplify right side
    261,510.19x = 163,297,264,612.82
  5. Step 5: Solve for x
    x = 163,297,264,612.82/261,510.19
  6. Step 6: Final answer
    x = 624,439.40

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.