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Finding the Third Proportional to 221,748 and 486,018

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Solution

The third proportional to 221,748 and 486,018 is: 1,065,233.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,748 : 486,018 = 486,018 : x
  2. Step 2: Convert to fraction form
    221,748/486,018 = 486,018/x
  3. Step 3: Cross multiply
    221,748x = 486,018 × 486,018
  4. Step 4: Simplify right side
    221,748x = 236,213,496,324
  5. Step 5: Solve for x
    x = 236,213,496,324/221,748
  6. Step 6: Final answer
    x = 1,065,233.94

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.