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Finding the Third Proportional to 232,888.50 and 501,453

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Solution

The third proportional to 232,888.50 and 501,453 is: 1,079,723.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,888.50 : 501,453 = 501,453 : x
  2. Step 2: Convert to fraction form
    232,888.50/501,453 = 501,453/x
  3. Step 3: Cross multiply
    232,888.50x = 501,453 × 501,453
  4. Step 4: Simplify right side
    232,888.50x = 251,455,111,209
  5. Step 5: Solve for x
    x = 251,455,111,209/232,888.50
  6. Step 6: Final answer
    x = 1,079,723.18

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.