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Finding the Third Proportional to 232,560 and 502,300

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Solution

The third proportional to 232,560 and 502,300 is: 1,084,904.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,560 : 502,300 = 502,300 : x
  2. Step 2: Convert to fraction form
    232,560/502,300 = 502,300/x
  3. Step 3: Cross multiply
    232,560x = 502,300 × 502,300
  4. Step 4: Simplify right side
    232,560x = 252,305,290,000
  5. Step 5: Solve for x
    x = 252,305,290,000/232,560
  6. Step 6: Final answer
    x = 1,084,904.07

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.