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Finding the Third Proportional to 546,228 and 826,933.50

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Solution

The third proportional to 546,228 and 826,933.50 is: 1,251,893.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,228 : 826,933.50 = 826,933.50 : x
  2. Step 2: Convert to fraction form
    546,228/826,933.50 = 826,933.50/x
  3. Step 3: Cross multiply
    546,228x = 826,933.50 × 826,933.50
  4. Step 4: Simplify right side
    546,228x = 683,819,013,422.25
  5. Step 5: Solve for x
    x = 683,819,013,422.25/546,228
  6. Step 6: Final answer
    x = 1,251,893.01

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