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Finding the Third Proportional to 467,582 and 668,593

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Solution

The third proportional to 467,582 and 668,593 is: 956,017.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,582 : 668,593 = 668,593 : x
  2. Step 2: Convert to fraction form
    467,582/668,593 = 668,593/x
  3. Step 3: Cross multiply
    467,582x = 668,593 × 668,593
  4. Step 4: Simplify right side
    467,582x = 447,016,599,649
  5. Step 5: Solve for x
    x = 447,016,599,649/467,582
  6. Step 6: Final answer
    x = 956,017.55

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.