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Finding the Third Proportional to 576,315 and 925,981

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Solution

The third proportional to 576,315 and 925,981 is: 1,487,798.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,315 : 925,981 = 925,981 : x
  2. Step 2: Convert to fraction form
    576,315/925,981 = 925,981/x
  3. Step 3: Cross multiply
    576,315x = 925,981 × 925,981
  4. Step 4: Simplify right side
    576,315x = 857,440,812,361
  5. Step 5: Solve for x
    x = 857,440,812,361/576,315
  6. Step 6: Final answer
    x = 1,487,798.88

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.