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Finding the Third Proportional to 291,615 and 456,862.50

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Solution

The third proportional to 291,615 and 456,862.50 is: 715,749.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,615 : 456,862.50 = 456,862.50 : x
  2. Step 2: Convert to fraction form
    291,615/456,862.50 = 456,862.50/x
  3. Step 3: Cross multiply
    291,615x = 456,862.50 × 456,862.50
  4. Step 4: Simplify right side
    291,615x = 208,723,343,906.25
  5. Step 5: Solve for x
    x = 208,723,343,906.25/291,615
  6. Step 6: Final answer
    x = 715,749.68

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.