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Finding the Third Proportional to 259,302 and 536,604

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Solution

The third proportional to 259,302 and 536,604 is: 1,110,457.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,302 : 536,604 = 536,604 : x
  2. Step 2: Convert to fraction form
    259,302/536,604 = 536,604/x
  3. Step 3: Cross multiply
    259,302x = 536,604 × 536,604
  4. Step 4: Simplify right side
    259,302x = 287,943,852,816
  5. Step 5: Solve for x
    x = 287,943,852,816/259,302
  6. Step 6: Final answer
    x = 1,110,457.51

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.