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Finding the Third Proportional to 502,206 and 753,268.50

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Solution

The third proportional to 502,206 and 753,268.50 is: 1,129,842.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,206 : 753,268.50 = 753,268.50 : x
  2. Step 2: Convert to fraction form
    502,206/753,268.50 = 753,268.50/x
  3. Step 3: Cross multiply
    502,206x = 753,268.50 × 753,268.50
  4. Step 4: Simplify right side
    502,206x = 567,413,433,092.25
  5. Step 5: Solve for x
    x = 567,413,433,092.25/502,206
  6. Step 6: Final answer
    x = 1,129,842.00

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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.