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Finding the Third Proportional to 358,911 and 755,022

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Solution

The third proportional to 358,911 and 755,022 is: 1,588,299.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,911 : 755,022 = 755,022 : x
  2. Step 2: Convert to fraction form
    358,911/755,022 = 755,022/x
  3. Step 3: Cross multiply
    358,911x = 755,022 × 755,022
  4. Step 4: Simplify right side
    358,911x = 570,058,220,484
  5. Step 5: Solve for x
    x = 570,058,220,484/358,911
  6. Step 6: Final answer
    x = 1,588,299.66

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.