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Finding the Third Proportional to 571,113.75 and 856,779

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Solution

The third proportional to 571,113.75 and 856,779 is: 1,285,331.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    571,113.75 : 856,779 = 856,779 : x
  2. Step 2: Convert to fraction form
    571,113.75/856,779 = 856,779/x
  3. Step 3: Cross multiply
    571,113.75x = 856,779 × 856,779
  4. Step 4: Simplify right side
    571,113.75x = 734,070,254,841
  5. Step 5: Solve for x
    x = 734,070,254,841/571,113.75
  6. Step 6: Final answer
    x = 1,285,331.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.