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Finding the Third Proportional to 499,871 and 732,012

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Solution

The third proportional to 499,871 and 732,012 is: 1,071,959.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,871 : 732,012 = 732,012 : x
  2. Step 2: Convert to fraction form
    499,871/732,012 = 732,012/x
  3. Step 3: Cross multiply
    499,871x = 732,012 × 732,012
  4. Step 4: Simplify right side
    499,871x = 535,841,568,144
  5. Step 5: Solve for x
    x = 535,841,568,144/499,871
  6. Step 6: Final answer
    x = 1,071,959.70

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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.