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Finding the Third Proportional to 372,740.63 and 496,612.13

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Solution

The third proportional to 372,740.63 and 496,612.13 is: 661,649.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    372,740.63 : 496,612.13 = 496,612.13 : x
  2. Step 2: Convert to fraction form
    372,740.63/496,612.13 = 496,612.13/x
  3. Step 3: Cross multiply
    372,740.63x = 496,612.13 × 496,612.13
  4. Step 4: Simplify right side
    372,740.63x = 246,623,602,697.02
  5. Step 5: Solve for x
    x = 246,623,602,697.02/372,740.63
  6. Step 6: Final answer
    x = 661,649.38

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.