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Finding the Third Proportional to 225,547 and 486,351

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Solution

The third proportional to 225,547 and 486,351 is: 1,048,727.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,547 : 486,351 = 486,351 : x
  2. Step 2: Convert to fraction form
    225,547/486,351 = 486,351/x
  3. Step 3: Cross multiply
    225,547x = 486,351 × 486,351
  4. Step 4: Simplify right side
    225,547x = 236,537,295,201
  5. Step 5: Solve for x
    x = 236,537,295,201/225,547
  6. Step 6: Final answer
    x = 1,048,727.29

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.