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Finding the Third Proportional to 262,520 and 572,555

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Solution

The third proportional to 262,520 and 572,555 is: 1,248,740.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,520 : 572,555 = 572,555 : x
  2. Step 2: Convert to fraction form
    262,520/572,555 = 572,555/x
  3. Step 3: Cross multiply
    262,520x = 572,555 × 572,555
  4. Step 4: Simplify right side
    262,520x = 327,819,228,025
  5. Step 5: Solve for x
    x = 327,819,228,025/262,520
  6. Step 6: Final answer
    x = 1,248,740.01

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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.