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Finding the Third Proportional to 368,845.31 and 586,498.22

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Solution

The third proportional to 368,845.31 and 586,498.22 is: 932,586.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,845.31 : 586,498.22 = 586,498.22 : x
  2. Step 2: Convert to fraction form
    368,845.31/586,498.22 = 586,498.22/x
  3. Step 3: Cross multiply
    368,845.31x = 586,498.22 × 586,498.22
  4. Step 4: Simplify right side
    368,845.31x = 343,980,160,596.92
  5. Step 5: Solve for x
    x = 343,980,160,596.92/368,845.31
  6. Step 6: Final answer
    x = 932,586.50

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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.