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Finding the Third Proportional to 217,008 and 470,101.50

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Solution

The third proportional to 217,008 and 470,101.50 is: 1,018,374.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,008 : 470,101.50 = 470,101.50 : x
  2. Step 2: Convert to fraction form
    217,008/470,101.50 = 470,101.50/x
  3. Step 3: Cross multiply
    217,008x = 470,101.50 × 470,101.50
  4. Step 4: Simplify right side
    217,008x = 220,995,420,302.25
  5. Step 5: Solve for x
    x = 220,995,420,302.25/217,008
  6. Step 6: Final answer
    x = 1,018,374.53

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.