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Finding the Third Proportional to 220,897 and 477,044

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Solution

The third proportional to 220,897 and 477,044 is: 1,030,213.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,897 : 477,044 = 477,044 : x
  2. Step 2: Convert to fraction form
    220,897/477,044 = 477,044/x
  3. Step 3: Cross multiply
    220,897x = 477,044 × 477,044
  4. Step 4: Simplify right side
    220,897x = 227,570,977,936
  5. Step 5: Solve for x
    x = 227,570,977,936/220,897
  6. Step 6: Final answer
    x = 1,030,213.08

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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.