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Finding the Third Proportional to 499,767.75 and 712,269

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Solution

The third proportional to 499,767.75 and 712,269 is: 1,015,125.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,767.75 : 712,269 = 712,269 : x
  2. Step 2: Convert to fraction form
    499,767.75/712,269 = 712,269/x
  3. Step 3: Cross multiply
    499,767.75x = 712,269 × 712,269
  4. Step 4: Simplify right side
    499,767.75x = 507,327,128,361
  5. Step 5: Solve for x
    x = 507,327,128,361/499,767.75
  6. Step 6: Final answer
    x = 1,015,125.78

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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.