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Finding the Third Proportional to 262,527.75 and 575,896.50

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Solution

The third proportional to 262,527.75 and 575,896.50 is: 1,263,320.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,527.75 : 575,896.50 = 575,896.50 : x
  2. Step 2: Convert to fraction form
    262,527.75/575,896.50 = 575,896.50/x
  3. Step 3: Cross multiply
    262,527.75x = 575,896.50 × 575,896.50
  4. Step 4: Simplify right side
    262,527.75x = 331,656,778,712.25
  5. Step 5: Solve for x
    x = 331,656,778,712.25/262,527.75
  6. Step 6: Final answer
    x = 1,263,320.84

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.