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Finding the Third Proportional to 552,212 and 755,658

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Solution

The third proportional to 552,212 and 755,658 is: 1,034,057.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,212 : 755,658 = 755,658 : x
  2. Step 2: Convert to fraction form
    552,212/755,658 = 755,658/x
  3. Step 3: Cross multiply
    552,212x = 755,658 × 755,658
  4. Step 4: Simplify right side
    552,212x = 571,019,012,964
  5. Step 5: Solve for x
    x = 571,019,012,964/552,212
  6. Step 6: Final answer
    x = 1,034,057.60

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.