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Finding the Third Proportional to 262,620 and 572,769

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Solution

The third proportional to 262,620 and 572,769 is: 1,249,197.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,620 : 572,769 = 572,769 : x
  2. Step 2: Convert to fraction form
    262,620/572,769 = 572,769/x
  3. Step 3: Cross multiply
    262,620x = 572,769 × 572,769
  4. Step 4: Simplify right side
    262,620x = 328,064,327,361
  5. Step 5: Solve for x
    x = 328,064,327,361/262,620
  6. Step 6: Final answer
    x = 1,249,197.80

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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.