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Finding the Third Proportional to 264,117 and 569,514

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Solution

The third proportional to 264,117 and 569,514 is: 1,228,039.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,117 : 569,514 = 569,514 : x
  2. Step 2: Convert to fraction form
    264,117/569,514 = 569,514/x
  3. Step 3: Cross multiply
    264,117x = 569,514 × 569,514
  4. Step 4: Simplify right side
    264,117x = 324,346,196,196
  5. Step 5: Solve for x
    x = 324,346,196,196/264,117
  6. Step 6: Final answer
    x = 1,228,039.83

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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.