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Finding the Third Proportional to 499,899 and 714,357

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Solution

The third proportional to 499,899 and 714,357 is: 1,020,818.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,899 : 714,357 = 714,357 : x
  2. Step 2: Convert to fraction form
    499,899/714,357 = 714,357/x
  3. Step 3: Cross multiply
    499,899x = 714,357 × 714,357
  4. Step 4: Simplify right side
    499,899x = 510,305,923,449
  5. Step 5: Solve for x
    x = 510,305,923,449/499,899
  6. Step 6: Final answer
    x = 1,020,818.05

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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.