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Finding the Third Proportional to 499,878 and 732,021

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Solution

The third proportional to 499,878 and 732,021 is: 1,071,971.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,878 : 732,021 = 732,021 : x
  2. Step 2: Convert to fraction form
    499,878/732,021 = 732,021/x
  3. Step 3: Cross multiply
    499,878x = 732,021 × 732,021
  4. Step 4: Simplify right side
    499,878x = 535,854,744,441
  5. Step 5: Solve for x
    x = 535,854,744,441/499,878
  6. Step 6: Final answer
    x = 1,071,971.05

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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.