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Finding the Third Proportional to 264,855 and 572,154

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Solution

The third proportional to 264,855 and 572,154 is: 1,235,997.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,855 : 572,154 = 572,154 : x
  2. Step 2: Convert to fraction form
    264,855/572,154 = 572,154/x
  3. Step 3: Cross multiply
    264,855x = 572,154 × 572,154
  4. Step 4: Simplify right side
    264,855x = 327,360,199,716
  5. Step 5: Solve for x
    x = 327,360,199,716/264,855
  6. Step 6: Final answer
    x = 1,235,997.81

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.