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Finding the Third Proportional to 262,898 and 572,764

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Solution

The third proportional to 262,898 and 572,764 is: 1,247,855.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,898 : 572,764 = 572,764 : x
  2. Step 2: Convert to fraction form
    262,898/572,764 = 572,764/x
  3. Step 3: Cross multiply
    262,898x = 572,764 × 572,764
  4. Step 4: Simplify right side
    262,898x = 328,058,599,696
  5. Step 5: Solve for x
    x = 328,058,599,696/262,898
  6. Step 6: Final answer
    x = 1,247,855.06

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.