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Finding the Third Proportional to 311,660 and 483,528

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Solution

The third proportional to 311,660 and 483,528 is: 750,174.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,660 : 483,528 = 483,528 : x
  2. Step 2: Convert to fraction form
    311,660/483,528 = 483,528/x
  3. Step 3: Cross multiply
    311,660x = 483,528 × 483,528
  4. Step 4: Simplify right side
    311,660x = 233,799,326,784
  5. Step 5: Solve for x
    x = 233,799,326,784/311,660
  6. Step 6: Final answer
    x = 750,174.31

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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.