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Finding the Third Proportional to 374,816.25 and 596,116.13

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Solution

The third proportional to 374,816.25 and 596,116.13 is: 948,076.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,816.25 : 596,116.13 = 596,116.13 : x
  2. Step 2: Convert to fraction form
    374,816.25/596,116.13 = 596,116.13/x
  3. Step 3: Cross multiply
    374,816.25x = 596,116.13 × 596,116.13
  4. Step 4: Simplify right side
    374,816.25x = 355,354,434,485.02
  5. Step 5: Solve for x
    x = 355,354,434,485.02/374,816.25
  6. Step 6: Final answer
    x = 948,076.38

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.