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Finding the Third Proportional to 232,488 and 492,875

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Solution

The third proportional to 232,488 and 492,875 is: 1,044,895.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,488 : 492,875 = 492,875 : x
  2. Step 2: Convert to fraction form
    232,488/492,875 = 492,875/x
  3. Step 3: Cross multiply
    232,488x = 492,875 × 492,875
  4. Step 4: Simplify right side
    232,488x = 242,925,765,625
  5. Step 5: Solve for x
    x = 242,925,765,625/232,488
  6. Step 6: Final answer
    x = 1,044,895.93

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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.