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Finding the Third Proportional to 466,810.50 and 1,024,012.50

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Solution

The third proportional to 466,810.50 and 1,024,012.50 is: 2,246,311.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,810.50 : 1,024,012.50 = 1,024,012.50 : x
  2. Step 2: Convert to fraction form
    466,810.50/1,024,012.50 = 1,024,012.50/x
  3. Step 3: Cross multiply
    466,810.50x = 1,024,012.50 × 1,024,012.50
  4. Step 4: Simplify right side
    466,810.50x = 1,048,601,600,156.25
  5. Step 5: Solve for x
    x = 1,048,601,600,156.25/466,810.50
  6. Step 6: Final answer
    x = 2,246,311.08

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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.