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Finding the Third Proportional to 291,826.50 and 634,762.50

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Solution

The third proportional to 291,826.50 and 634,762.50 is: 1,380,695.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,826.50 : 634,762.50 = 634,762.50 : x
  2. Step 2: Convert to fraction form
    291,826.50/634,762.50 = 634,762.50/x
  3. Step 3: Cross multiply
    291,826.50x = 634,762.50 × 634,762.50
  4. Step 4: Simplify right side
    291,826.50x = 402,923,431,406.25
  5. Step 5: Solve for x
    x = 402,923,431,406.25/291,826.50
  6. Step 6: Final answer
    x = 1,380,695.14

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.