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Finding the Third Proportional to 462,648 and 674,280

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Solution

The third proportional to 462,648 and 674,280 is: 982,720.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,648 : 674,280 = 674,280 : x
  2. Step 2: Convert to fraction form
    462,648/674,280 = 674,280/x
  3. Step 3: Cross multiply
    462,648x = 674,280 × 674,280
  4. Step 4: Simplify right side
    462,648x = 454,653,518,400
  5. Step 5: Solve for x
    x = 454,653,518,400/462,648
  6. Step 6: Final answer
    x = 982,720.16

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.