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Finding the Third Proportional to 653,074.31 and 989,463.94

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Solution

The third proportional to 653,074.31 and 989,463.94 is: 1,499,123.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,074.31 : 989,463.94 = 989,463.94 : x
  2. Step 2: Convert to fraction form
    653,074.31/989,463.94 = 989,463.94/x
  3. Step 3: Cross multiply
    653,074.31x = 989,463.94 × 989,463.94
  4. Step 4: Simplify right side
    653,074.31x = 979,038,883,613.00
  5. Step 5: Solve for x
    x = 979,038,883,613.00/653,074.31
  6. Step 6: Final answer
    x = 1,499,123.25

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.