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Finding the Third Proportional to 234,576 and 502,366.50

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Solution

The third proportional to 234,576 and 502,366.50 is: 1,075,864.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,576 : 502,366.50 = 502,366.50 : x
  2. Step 2: Convert to fraction form
    234,576/502,366.50 = 502,366.50/x
  3. Step 3: Cross multiply
    234,576x = 502,366.50 × 502,366.50
  4. Step 4: Simplify right side
    234,576x = 252,372,100,322.25
  5. Step 5: Solve for x
    x = 252,372,100,322.25/234,576
  6. Step 6: Final answer
    x = 1,075,864.97

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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.