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Finding the Third Proportional to 535,102 and 804,597

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Solution

The third proportional to 535,102 and 804,597 is: 1,209,818.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,102 : 804,597 = 804,597 : x
  2. Step 2: Convert to fraction form
    535,102/804,597 = 804,597/x
  3. Step 3: Cross multiply
    535,102x = 804,597 × 804,597
  4. Step 4: Simplify right side
    535,102x = 647,376,332,409
  5. Step 5: Solve for x
    x = 647,376,332,409/535,102
  6. Step 6: Final answer
    x = 1,209,818.56

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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.