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Finding the Third Proportional to 657,473.50 and 986,226

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Solution

The third proportional to 657,473.50 and 986,226 is: 1,479,362.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,473.50 : 986,226 = 986,226 : x
  2. Step 2: Convert to fraction form
    657,473.50/986,226 = 986,226/x
  3. Step 3: Cross multiply
    657,473.50x = 986,226 × 986,226
  4. Step 4: Simplify right side
    657,473.50x = 972,641,723,076
  5. Step 5: Solve for x
    x = 972,641,723,076/657,473.50
  6. Step 6: Final answer
    x = 1,479,362.63

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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.