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Finding the Third Proportional to 232,699.50 and 502,533

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Solution

The third proportional to 232,699.50 and 502,533 is: 1,085,259.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,699.50 : 502,533 = 502,533 : x
  2. Step 2: Convert to fraction form
    232,699.50/502,533 = 502,533/x
  3. Step 3: Cross multiply
    232,699.50x = 502,533 × 502,533
  4. Step 4: Simplify right side
    232,699.50x = 252,539,416,089
  5. Step 5: Solve for x
    x = 252,539,416,089/232,699.50
  6. Step 6: Final answer
    x = 1,085,259.81

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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.