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Finding the Third Proportional to 464,525 and 678,871

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Solution

The third proportional to 464,525 and 678,871 is: 992,122.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,525 : 678,871 = 678,871 : x
  2. Step 2: Convert to fraction form
    464,525/678,871 = 678,871/x
  3. Step 3: Cross multiply
    464,525x = 678,871 × 678,871
  4. Step 4: Simplify right side
    464,525x = 460,865,834,641
  5. Step 5: Solve for x
    x = 460,865,834,641/464,525
  6. Step 6: Final answer
    x = 992,122.78

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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.