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Finding the Third Proportional to 559,273.50 and 838,970.50

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Solution

The third proportional to 559,273.50 and 838,970.50 is: 1,258,546.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,273.50 : 838,970.50 = 838,970.50 : x
  2. Step 2: Convert to fraction form
    559,273.50/838,970.50 = 838,970.50/x
  3. Step 3: Cross multiply
    559,273.50x = 838,970.50 × 838,970.50
  4. Step 4: Simplify right side
    559,273.50x = 703,871,499,870.25
  5. Step 5: Solve for x
    x = 703,871,499,870.25/559,273.50
  6. Step 6: Final answer
    x = 1,258,546.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.