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Finding the Third Proportional to 312,552 and 481,797

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Solution

The third proportional to 312,552 and 481,797 is: 742,687.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,552 : 481,797 = 481,797 : x
  2. Step 2: Convert to fraction form
    312,552/481,797 = 481,797/x
  3. Step 3: Cross multiply
    312,552x = 481,797 × 481,797
  4. Step 4: Simplify right side
    312,552x = 232,128,349,209
  5. Step 5: Solve for x
    x = 232,128,349,209/312,552
  6. Step 6: Final answer
    x = 742,687.13

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.