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Finding the Third Proportional to 438,601.50 and 960,970.50

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Solution

The third proportional to 438,601.50 and 960,970.50 is: 2,105,474.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,601.50 : 960,970.50 = 960,970.50 : x
  2. Step 2: Convert to fraction form
    438,601.50/960,970.50 = 960,970.50/x
  3. Step 3: Cross multiply
    438,601.50x = 960,970.50 × 960,970.50
  4. Step 4: Simplify right side
    438,601.50x = 923,464,301,870.25
  5. Step 5: Solve for x
    x = 923,464,301,870.25/438,601.50
  6. Step 6: Final answer
    x = 2,105,474.56

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.