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Finding the Third Proportional to 372,338 and 589,854

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Solution

The third proportional to 372,338 and 589,854 is: 934,440.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    372,338 : 589,854 = 589,854 : x
  2. Step 2: Convert to fraction form
    372,338/589,854 = 589,854/x
  3. Step 3: Cross multiply
    372,338x = 589,854 × 589,854
  4. Step 4: Simplify right side
    372,338x = 347,927,741,316
  5. Step 5: Solve for x
    x = 347,927,741,316/372,338
  6. Step 6: Final answer
    x = 934,440.59

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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.