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Finding the Third Proportional to 542,822 and 830,361

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Solution

The third proportional to 542,822 and 830,361 is: 1,270,212.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,822 : 830,361 = 830,361 : x
  2. Step 2: Convert to fraction form
    542,822/830,361 = 830,361/x
  3. Step 3: Cross multiply
    542,822x = 830,361 × 830,361
  4. Step 4: Simplify right side
    542,822x = 689,499,390,321
  5. Step 5: Solve for x
    x = 689,499,390,321/542,822
  6. Step 6: Final answer
    x = 1,270,212.69

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.