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Finding the Third Proportional to 551,279 and 830,132

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Solution

The third proportional to 551,279 and 830,132 is: 1,250,036.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,279 : 830,132 = 830,132 : x
  2. Step 2: Convert to fraction form
    551,279/830,132 = 830,132/x
  3. Step 3: Cross multiply
    551,279x = 830,132 × 830,132
  4. Step 4: Simplify right side
    551,279x = 689,119,137,424
  5. Step 5: Solve for x
    x = 689,119,137,424/551,279
  6. Step 6: Final answer
    x = 1,250,036.98

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.