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Finding the Third Proportional to 335,052 and 502,645.50

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Solution

The third proportional to 335,052 and 502,645.50 is: 754,069.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,052 : 502,645.50 = 502,645.50 : x
  2. Step 2: Convert to fraction form
    335,052/502,645.50 = 502,645.50/x
  3. Step 3: Cross multiply
    335,052x = 502,645.50 × 502,645.50
  4. Step 4: Simplify right side
    335,052x = 252,652,498,670.25
  5. Step 5: Solve for x
    x = 252,652,498,670.25/335,052
  6. Step 6: Final answer
    x = 754,069.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.