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Finding the Third Proportional to 333,776 and 516,501

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Solution

The third proportional to 333,776 and 516,501 is: 799,258.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,776 : 516,501 = 516,501 : x
  2. Step 2: Convert to fraction form
    333,776/516,501 = 516,501/x
  3. Step 3: Cross multiply
    333,776x = 516,501 × 516,501
  4. Step 4: Simplify right side
    333,776x = 266,773,283,001
  5. Step 5: Solve for x
    x = 266,773,283,001/333,776
  6. Step 6: Final answer
    x = 799,258.43

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.