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Finding the Third Proportional to 234,608.25 and 502,426.50

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Solution

The third proportional to 234,608.25 and 502,426.50 is: 1,075,974.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,608.25 : 502,426.50 = 502,426.50 : x
  2. Step 2: Convert to fraction form
    234,608.25/502,426.50 = 502,426.50/x
  3. Step 3: Cross multiply
    234,608.25x = 502,426.50 × 502,426.50
  4. Step 4: Simplify right side
    234,608.25x = 252,432,387,902.25
  5. Step 5: Solve for x
    x = 252,432,387,902.25/234,608.25
  6. Step 6: Final answer
    x = 1,075,974.05

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.