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Finding the Third Proportional to 262,536 and 572,584.50

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Solution

The third proportional to 262,536 and 572,584.50 is: 1,248,792.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,536 : 572,584.50 = 572,584.50 : x
  2. Step 2: Convert to fraction form
    262,536/572,584.50 = 572,584.50/x
  3. Step 3: Cross multiply
    262,536x = 572,584.50 × 572,584.50
  4. Step 4: Simplify right side
    262,536x = 327,853,009,640.25
  5. Step 5: Solve for x
    x = 327,853,009,640.25/262,536
  6. Step 6: Final answer
    x = 1,248,792.58

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.