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Finding the Third Proportional to 232,663.50 and 502,465.50

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Solution

The third proportional to 232,663.50 and 502,465.50 is: 1,085,136.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,663.50 : 502,465.50 = 502,465.50 : x
  2. Step 2: Convert to fraction form
    232,663.50/502,465.50 = 502,465.50/x
  3. Step 3: Cross multiply
    232,663.50x = 502,465.50 × 502,465.50
  4. Step 4: Simplify right side
    232,663.50x = 252,471,578,690.25
  5. Step 5: Solve for x
    x = 252,471,578,690.25/232,663.50
  6. Step 6: Final answer
    x = 1,085,136.17

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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.