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Finding the Third Proportional to 225,924 and 489,041.50

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Solution

The third proportional to 225,924 and 489,041.50 is: 1,058,593.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,924 : 489,041.50 = 489,041.50 : x
  2. Step 2: Convert to fraction form
    225,924/489,041.50 = 489,041.50/x
  3. Step 3: Cross multiply
    225,924x = 489,041.50 × 489,041.50
  4. Step 4: Simplify right side
    225,924x = 239,161,588,722.25
  5. Step 5: Solve for x
    x = 239,161,588,722.25/225,924
  6. Step 6: Final answer
    x = 1,058,593.11

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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.