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Finding the Third Proportional to 418,095 and 631,061

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Solution

The third proportional to 418,095 and 631,061 is: 952,505.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,095 : 631,061 = 631,061 : x
  2. Step 2: Convert to fraction form
    418,095/631,061 = 631,061/x
  3. Step 3: Cross multiply
    418,095x = 631,061 × 631,061
  4. Step 4: Simplify right side
    418,095x = 398,237,985,721
  5. Step 5: Solve for x
    x = 398,237,985,721/418,095
  6. Step 6: Final answer
    x = 952,505.98

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.