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Finding the Third Proportional to 634,350 and 927,707

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Solution

The third proportional to 634,350 and 927,707 is: 1,356,727.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    634,350 : 927,707 = 927,707 : x
  2. Step 2: Convert to fraction form
    634,350/927,707 = 927,707/x
  3. Step 3: Cross multiply
    634,350x = 927,707 × 927,707
  4. Step 4: Simplify right side
    634,350x = 860,640,277,849
  5. Step 5: Solve for x
    x = 860,640,277,849/634,350
  6. Step 6: Final answer
    x = 1,356,727.80

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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.