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Finding the Third Proportional to 303,061.50 and 463,816.13

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Solution

The third proportional to 303,061.50 and 463,816.13 is: 709,840.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,061.50 : 463,816.13 = 463,816.13 : x
  2. Step 2: Convert to fraction form
    303,061.50/463,816.13 = 463,816.13/x
  3. Step 3: Cross multiply
    303,061.50x = 463,816.13 × 463,816.13
  4. Step 4: Simplify right side
    303,061.50x = 215,125,397,810.02
  5. Step 5: Solve for x
    x = 215,125,397,810.02/303,061.50
  6. Step 6: Final answer
    x = 709,840.73

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.