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Finding the Third Proportional to 262,352 and 562,928

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Solution

The third proportional to 262,352 and 562,928 is: 1,207,873.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,352 : 562,928 = 562,928 : x
  2. Step 2: Convert to fraction form
    262,352/562,928 = 562,928/x
  3. Step 3: Cross multiply
    262,352x = 562,928 × 562,928
  4. Step 4: Simplify right side
    262,352x = 316,887,933,184
  5. Step 5: Solve for x
    x = 316,887,933,184/262,352
  6. Step 6: Final answer
    x = 1,207,873.14

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.