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Finding the Third Proportional to 467,578 and 668,587

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Solution

The third proportional to 467,578 and 668,587 is: 956,008.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,578 : 668,587 = 668,587 : x
  2. Step 2: Convert to fraction form
    467,578/668,587 = 668,587/x
  3. Step 3: Cross multiply
    467,578x = 668,587 × 668,587
  4. Step 4: Simplify right side
    467,578x = 447,008,576,569
  5. Step 5: Solve for x
    x = 447,008,576,569/467,578
  6. Step 6: Final answer
    x = 956,008.57

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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.