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Finding the Third Proportional to 264,592.83 and 571,627.13

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Solution

The third proportional to 264,592.83 and 571,627.13 is: 1,234,944.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,592.83 : 571,627.13 = 571,627.13 : x
  2. Step 2: Convert to fraction form
    264,592.83/571,627.13 = 571,627.13/x
  3. Step 3: Cross multiply
    264,592.83x = 571,627.13 × 571,627.13
  4. Step 4: Simplify right side
    264,592.83x = 326,757,570,035.77
  5. Step 5: Solve for x
    x = 326,757,570,035.77/264,592.83
  6. Step 6: Final answer
    x = 1,234,944.92

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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.