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Finding the Third Proportional to 496,488 and 767,202

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Solution

The third proportional to 496,488 and 767,202 is: 1,185,524.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,488 : 767,202 = 767,202 : x
  2. Step 2: Convert to fraction form
    496,488/767,202 = 767,202/x
  3. Step 3: Cross multiply
    496,488x = 767,202 × 767,202
  4. Step 4: Simplify right side
    496,488x = 588,598,908,804
  5. Step 5: Solve for x
    x = 588,598,908,804/496,488
  6. Step 6: Final answer
    x = 1,185,524.94

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.