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Finding the Third Proportional to 526,047.75 and 1,141,762.50

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Solution

The third proportional to 526,047.75 and 1,141,762.50 is: 2,478,143.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,047.75 : 1,141,762.50 = 1,141,762.50 : x
  2. Step 2: Convert to fraction form
    526,047.75/1,141,762.50 = 1,141,762.50/x
  3. Step 3: Cross multiply
    526,047.75x = 1,141,762.50 × 1,141,762.50
  4. Step 4: Simplify right side
    526,047.75x = 1,303,621,606,406.25
  5. Step 5: Solve for x
    x = 1,303,621,606,406.25/526,047.75
  6. Step 6: Final answer
    x = 2,478,143.11

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.