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Finding the Third Proportional to 497,313.50 and 1,073,251

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Solution

The third proportional to 497,313.50 and 1,073,251 is: 2,316,180.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,313.50 : 1,073,251 = 1,073,251 : x
  2. Step 2: Convert to fraction form
    497,313.50/1,073,251 = 1,073,251/x
  3. Step 3: Cross multiply
    497,313.50x = 1,073,251 × 1,073,251
  4. Step 4: Simplify right side
    497,313.50x = 1,151,867,709,001
  5. Step 5: Solve for x
    x = 1,151,867,709,001/497,313.50
  6. Step 6: Final answer
    x = 2,316,180.25

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.