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Finding the Third Proportional to 232,830 and 502,752

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Solution

The third proportional to 232,830 and 502,752 is: 1,085,597.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,830 : 502,752 = 502,752 : x
  2. Step 2: Convert to fraction form
    232,830/502,752 = 502,752/x
  3. Step 3: Cross multiply
    232,830x = 502,752 × 502,752
  4. Step 4: Simplify right side
    232,830x = 252,759,573,504
  5. Step 5: Solve for x
    x = 252,759,573,504/232,830
  6. Step 6: Final answer
    x = 1,085,597.10

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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.