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Finding the Third Proportional to 499,683 and 804,712

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Solution

The third proportional to 499,683 and 804,712 is: 1,295,944.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,683 : 804,712 = 804,712 : x
  2. Step 2: Convert to fraction form
    499,683/804,712 = 804,712/x
  3. Step 3: Cross multiply
    499,683x = 804,712 × 804,712
  4. Step 4: Simplify right side
    499,683x = 647,561,402,944
  5. Step 5: Solve for x
    x = 647,561,402,944/499,683
  6. Step 6: Final answer
    x = 1,295,944.43

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.