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Finding the Third Proportional to 225,913 and 470,553.50

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Solution

The third proportional to 225,913 and 470,553.50 is: 980,114.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,913 : 470,553.50 = 470,553.50 : x
  2. Step 2: Convert to fraction form
    225,913/470,553.50 = 470,553.50/x
  3. Step 3: Cross multiply
    225,913x = 470,553.50 × 470,553.50
  4. Step 4: Simplify right side
    225,913x = 221,420,596,362.25
  5. Step 5: Solve for x
    x = 221,420,596,362.25/225,913
  6. Step 6: Final answer
    x = 980,114.45

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.