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Finding the Third Proportional to 788,598 and 1,123,847.50

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Solution

The third proportional to 788,598 and 1,123,847.50 is: 1,601,618.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    788,598 : 1,123,847.50 = 1,123,847.50 : x
  2. Step 2: Convert to fraction form
    788,598/1,123,847.50 = 1,123,847.50/x
  3. Step 3: Cross multiply
    788,598x = 1,123,847.50 × 1,123,847.50
  4. Step 4: Simplify right side
    788,598x = 1,263,033,203,256.25
  5. Step 5: Solve for x
    x = 1,263,033,203,256.25/788,598
  6. Step 6: Final answer
    x = 1,601,618.57

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.