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Finding the Third Proportional to 371,524.13 and 590,434.13

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Solution

The third proportional to 371,524.13 and 590,434.13 is: 938,330.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,524.13 : 590,434.13 = 590,434.13 : x
  2. Step 2: Convert to fraction form
    371,524.13/590,434.13 = 590,434.13/x
  3. Step 3: Cross multiply
    371,524.13x = 590,434.13 × 590,434.13
  4. Step 4: Simplify right side
    371,524.13x = 348,612,455,964.52
  5. Step 5: Solve for x
    x = 348,612,455,964.52/371,524.13
  6. Step 6: Final answer
    x = 938,330.60

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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.