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Finding the Third Proportional to 540,907.50 and 856,513.50

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Solution

The third proportional to 540,907.50 and 856,513.50 is: 1,356,267.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,907.50 : 856,513.50 = 856,513.50 : x
  2. Step 2: Convert to fraction form
    540,907.50/856,513.50 = 856,513.50/x
  3. Step 3: Cross multiply
    540,907.50x = 856,513.50 × 856,513.50
  4. Step 4: Simplify right side
    540,907.50x = 733,615,375,682.25
  5. Step 5: Solve for x
    x = 733,615,375,682.25/540,907.50
  6. Step 6: Final answer
    x = 1,356,267.71

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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.