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Finding the Third Proportional to 280,216.50 and 446,098.50

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Solution

The third proportional to 280,216.50 and 446,098.50 is: 710,178.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,216.50 : 446,098.50 = 446,098.50 : x
  2. Step 2: Convert to fraction form
    280,216.50/446,098.50 = 446,098.50/x
  3. Step 3: Cross multiply
    280,216.50x = 446,098.50 × 446,098.50
  4. Step 4: Simplify right side
    280,216.50x = 199,003,871,702.25
  5. Step 5: Solve for x
    x = 199,003,871,702.25/280,216.50
  6. Step 6: Final answer
    x = 710,178.99

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.