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Finding the Third Proportional to 551,282 and 830,134

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Solution

The third proportional to 551,282 and 830,134 is: 1,250,036.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,282 : 830,134 = 830,134 : x
  2. Step 2: Convert to fraction form
    551,282/830,134 = 830,134/x
  3. Step 3: Cross multiply
    551,282x = 830,134 × 830,134
  4. Step 4: Simplify right side
    551,282x = 689,122,457,956
  5. Step 5: Solve for x
    x = 689,122,457,956/551,282
  6. Step 6: Final answer
    x = 1,250,036.20

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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.