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Finding the Third Proportional to 363,530.25 and 575,367.75

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Solution

The third proportional to 363,530.25 and 575,367.75 is: 910,647.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,530.25 : 575,367.75 = 575,367.75 : x
  2. Step 2: Convert to fraction form
    363,530.25/575,367.75 = 575,367.75/x
  3. Step 3: Cross multiply
    363,530.25x = 575,367.75 × 575,367.75
  4. Step 4: Simplify right side
    363,530.25x = 331,048,047,740.06
  5. Step 5: Solve for x
    x = 331,048,047,740.06/363,530.25
  6. Step 6: Final answer
    x = 910,647.87

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.