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Finding the Third Proportional to 262,606 and 572,740

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Solution

The third proportional to 262,606 and 572,740 is: 1,249,137.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,606 : 572,740 = 572,740 : x
  2. Step 2: Convert to fraction form
    262,606/572,740 = 572,740/x
  3. Step 3: Cross multiply
    262,606x = 572,740 × 572,740
  4. Step 4: Simplify right side
    262,606x = 328,031,107,600
  5. Step 5: Solve for x
    x = 328,031,107,600/262,606
  6. Step 6: Final answer
    x = 1,249,137.90

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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.