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Finding the Third Proportional to 634,352 and 927,711

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Solution

The third proportional to 634,352 and 927,711 is: 1,356,735.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    634,352 : 927,711 = 927,711 : x
  2. Step 2: Convert to fraction form
    634,352/927,711 = 927,711/x
  3. Step 3: Cross multiply
    634,352x = 927,711 × 927,711
  4. Step 4: Simplify right side
    634,352x = 860,647,699,521
  5. Step 5: Solve for x
    x = 860,647,699,521/634,352
  6. Step 6: Final answer
    x = 1,356,735.22

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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.