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Finding the Third Proportional to 335,056 and 722,597

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Solution

The third proportional to 335,056 and 722,597 is: 1,558,385.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,056 : 722,597 = 722,597 : x
  2. Step 2: Convert to fraction form
    335,056/722,597 = 722,597/x
  3. Step 3: Cross multiply
    335,056x = 722,597 × 722,597
  4. Step 4: Simplify right side
    335,056x = 522,146,424,409
  5. Step 5: Solve for x
    x = 522,146,424,409/335,056
  6. Step 6: Final answer
    x = 1,558,385.54

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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.