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Finding the Third Proportional to 225,998 and 501,560

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Solution

The third proportional to 225,998 and 501,560 is: 1,113,117.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,998 : 501,560 = 501,560 : x
  2. Step 2: Convert to fraction form
    225,998/501,560 = 501,560/x
  3. Step 3: Cross multiply
    225,998x = 501,560 × 501,560
  4. Step 4: Simplify right side
    225,998x = 251,562,433,600
  5. Step 5: Solve for x
    x = 251,562,433,600/225,998
  6. Step 6: Final answer
    x = 1,113,117.96

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.