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Finding the Third Proportional to 499,876 and 732,018

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Solution

The third proportional to 499,876 and 732,018 is: 1,071,966.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,876 : 732,018 = 732,018 : x
  2. Step 2: Convert to fraction form
    499,876/732,018 = 732,018/x
  3. Step 3: Cross multiply
    499,876x = 732,018 × 732,018
  4. Step 4: Simplify right side
    499,876x = 535,850,352,324
  5. Step 5: Solve for x
    x = 535,850,352,324/499,876
  6. Step 6: Final answer
    x = 1,071,966.55

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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.