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Finding the Third Proportional to 232,403 and 492,707

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Solution

The third proportional to 232,403 and 492,707 is: 1,044,565.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,403 : 492,707 = 492,707 : x
  2. Step 2: Convert to fraction form
    232,403/492,707 = 492,707/x
  3. Step 3: Cross multiply
    232,403x = 492,707 × 492,707
  4. Step 4: Simplify right side
    232,403x = 242,760,187,849
  5. Step 5: Solve for x
    x = 242,760,187,849/232,403
  6. Step 6: Final answer
    x = 1,044,565.64

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.