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Finding the Third Proportional to 259,074 and 562,426

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Solution

The third proportional to 259,074 and 562,426 is: 1,220,975.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,074 : 562,426 = 562,426 : x
  2. Step 2: Convert to fraction form
    259,074/562,426 = 562,426/x
  3. Step 3: Cross multiply
    259,074x = 562,426 × 562,426
  4. Step 4: Simplify right side
    259,074x = 316,323,005,476
  5. Step 5: Solve for x
    x = 316,323,005,476/259,074
  6. Step 6: Final answer
    x = 1,220,975.50

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.