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Finding the Third Proportional to 454,672 and 662,018

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Solution

The third proportional to 454,672 and 662,018 is: 963,920.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,672 : 662,018 = 662,018 : x
  2. Step 2: Convert to fraction form
    454,672/662,018 = 662,018/x
  3. Step 3: Cross multiply
    454,672x = 662,018 × 662,018
  4. Step 4: Simplify right side
    454,672x = 438,267,832,324
  5. Step 5: Solve for x
    x = 438,267,832,324/454,672
  6. Step 6: Final answer
    x = 963,920.88

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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.