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Finding the Third Proportional to 634,725 and 927,772.50

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Solution

The third proportional to 634,725 and 927,772.50 is: 1,356,117.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    634,725 : 927,772.50 = 927,772.50 : x
  2. Step 2: Convert to fraction form
    634,725/927,772.50 = 927,772.50/x
  3. Step 3: Cross multiply
    634,725x = 927,772.50 × 927,772.50
  4. Step 4: Simplify right side
    634,725x = 860,761,811,756.25
  5. Step 5: Solve for x
    x = 860,761,811,756.25/634,725
  6. Step 6: Final answer
    x = 1,356,117.71

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