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Finding the Third Proportional to 634,356 and 927,716

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Solution

The third proportional to 634,356 and 927,716 is: 1,356,741.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    634,356 : 927,716 = 927,716 : x
  2. Step 2: Convert to fraction form
    634,356/927,716 = 927,716/x
  3. Step 3: Cross multiply
    634,356x = 927,716 × 927,716
  4. Step 4: Simplify right side
    634,356x = 860,656,976,656
  5. Step 5: Solve for x
    x = 860,656,976,656/634,356
  6. Step 6: Final answer
    x = 1,356,741.29

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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.