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Finding the Third Proportional to 262,359 and 579,847.50

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Solution

The third proportional to 262,359 and 579,847.50 is: 1,281,538.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,359 : 579,847.50 = 579,847.50 : x
  2. Step 2: Convert to fraction form
    262,359/579,847.50 = 579,847.50/x
  3. Step 3: Cross multiply
    262,359x = 579,847.50 × 579,847.50
  4. Step 4: Simplify right side
    262,359x = 336,223,123,256.25
  5. Step 5: Solve for x
    x = 336,223,123,256.25/262,359
  6. Step 6: Final answer
    x = 1,281,538.36

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These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.