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Finding the Third Proportional to 374,466 and 565,731

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Solution

The third proportional to 374,466 and 565,731 is: 854,687.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,466 : 565,731 = 565,731 : x
  2. Step 2: Convert to fraction form
    374,466/565,731 = 565,731/x
  3. Step 3: Cross multiply
    374,466x = 565,731 × 565,731
  4. Step 4: Simplify right side
    374,466x = 320,051,564,361
  5. Step 5: Solve for x
    x = 320,051,564,361/374,466
  6. Step 6: Final answer
    x = 854,687.91

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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.