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Finding the Third Proportional to 463,410 and 680,080.50

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Solution

The third proportional to 463,410 and 680,080.50 is: 998,056.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,410 : 680,080.50 = 680,080.50 : x
  2. Step 2: Convert to fraction form
    463,410/680,080.50 = 680,080.50/x
  3. Step 3: Cross multiply
    463,410x = 680,080.50 × 680,080.50
  4. Step 4: Simplify right side
    463,410x = 462,509,486,480.25
  5. Step 5: Solve for x
    x = 462,509,486,480.25/463,410
  6. Step 6: Final answer
    x = 998,056.77

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.