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Finding the Third Proportional to 372,534.19 and 590,148.28

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Solution

The third proportional to 372,534.19 and 590,148.28 is: 934,880.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    372,534.19 : 590,148.28 = 590,148.28 : x
  2. Step 2: Convert to fraction form
    372,534.19/590,148.28 = 590,148.28/x
  3. Step 3: Cross multiply
    372,534.19x = 590,148.28 × 590,148.28
  4. Step 4: Simplify right side
    372,534.19x = 348,274,993,862.33
  5. Step 5: Solve for x
    x = 348,274,993,862.33/372,534.19
  6. Step 6: Final answer
    x = 934,880.62

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.