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Finding the Third Proportional to 499,878 and 732,019

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Solution

The third proportional to 499,878 and 732,019 is: 1,071,965.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,878 : 732,019 = 732,019 : x
  2. Step 2: Convert to fraction form
    499,878/732,019 = 732,019/x
  3. Step 3: Cross multiply
    499,878x = 732,019 × 732,019
  4. Step 4: Simplify right side
    499,878x = 535,851,816,361
  5. Step 5: Solve for x
    x = 535,851,816,361/499,878
  6. Step 6: Final answer
    x = 1,071,965.19

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.