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Finding the Third Proportional to 333,127.69 and 474,776.44

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Solution

The third proportional to 333,127.69 and 474,776.44 is: 676,655.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,127.69 : 474,776.44 = 474,776.44 : x
  2. Step 2: Convert to fraction form
    333,127.69/474,776.44 = 474,776.44/x
  3. Step 3: Cross multiply
    333,127.69x = 474,776.44 × 474,776.44
  4. Step 4: Simplify right side
    333,127.69x = 225,412,665,605.19
  5. Step 5: Solve for x
    x = 225,412,665,605.19/333,127.69
  6. Step 6: Final answer
    x = 676,655.45

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.