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Finding the Third Proportional to 535,554 and 782,807.06

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Solution

The third proportional to 535,554 and 782,807.06 is: 1,144,211.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,554 : 782,807.06 = 782,807.06 : x
  2. Step 2: Convert to fraction form
    535,554/782,807.06 = 782,807.06/x
  3. Step 3: Cross multiply
    535,554x = 782,807.06 × 782,807.06
  4. Step 4: Simplify right side
    535,554x = 612,786,897,099.88
  5. Step 5: Solve for x
    x = 612,786,897,099.88/535,554
  6. Step 6: Final answer
    x = 1,144,211.22

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.