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Finding the Third Proportional to 219,066 and 473,088

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Solution

The third proportional to 219,066 and 473,088 is: 1,021,665.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,066 : 473,088 = 473,088 : x
  2. Step 2: Convert to fraction form
    219,066/473,088 = 473,088/x
  3. Step 3: Cross multiply
    219,066x = 473,088 × 473,088
  4. Step 4: Simplify right side
    219,066x = 223,812,255,744
  5. Step 5: Solve for x
    x = 223,812,255,744/219,066
  6. Step 6: Final answer
    x = 1,021,665.87

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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.