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Finding the Third Proportional to 366,565.50 and 566,419.50

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Solution

The third proportional to 366,565.50 and 566,419.50 is: 875,235.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,565.50 : 566,419.50 = 566,419.50 : x
  2. Step 2: Convert to fraction form
    366,565.50/566,419.50 = 566,419.50/x
  3. Step 3: Cross multiply
    366,565.50x = 566,419.50 × 566,419.50
  4. Step 4: Simplify right side
    366,565.50x = 320,831,049,980.25
  5. Step 5: Solve for x
    x = 320,831,049,980.25/366,565.50
  6. Step 6: Final answer
    x = 875,235.26

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.