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Finding the Third Proportional to 634,348 and 927,704

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Solution

The third proportional to 634,348 and 927,704 is: 1,356,723.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    634,348 : 927,704 = 927,704 : x
  2. Step 2: Convert to fraction form
    634,348/927,704 = 927,704/x
  3. Step 3: Cross multiply
    634,348x = 927,704 × 927,704
  4. Step 4: Simplify right side
    634,348x = 860,634,711,616
  5. Step 5: Solve for x
    x = 860,634,711,616/634,348
  6. Step 6: Final answer
    x = 1,356,723.30

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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.