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Finding the Third Proportional to 454,744.13 and 662,114.25

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Solution

The third proportional to 454,744.13 and 662,114.25 is: 964,048.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,744.13 : 662,114.25 = 662,114.25 : x
  2. Step 2: Convert to fraction form
    454,744.13/662,114.25 = 662,114.25/x
  3. Step 3: Cross multiply
    454,744.13x = 662,114.25 × 662,114.25
  4. Step 4: Simplify right side
    454,744.13x = 438,395,280,053.06
  5. Step 5: Solve for x
    x = 438,395,280,053.06/454,744.13
  6. Step 6: Final answer
    x = 964,048.25

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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.