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Finding the Third Proportional to 220,088 and 463,819

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Solution

The third proportional to 220,088 and 463,819 is: 977,463.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,088 : 463,819 = 463,819 : x
  2. Step 2: Convert to fraction form
    220,088/463,819 = 463,819/x
  3. Step 3: Cross multiply
    220,088x = 463,819 × 463,819
  4. Step 4: Simplify right side
    220,088x = 215,128,064,761
  5. Step 5: Solve for x
    x = 215,128,064,761/220,088
  6. Step 6: Final answer
    x = 977,463.85

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.