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Finding the Third Proportional to 264,790 and 567,484

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Solution

The third proportional to 264,790 and 567,484 is: 1,216,201.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,790 : 567,484 = 567,484 : x
  2. Step 2: Convert to fraction form
    264,790/567,484 = 567,484/x
  3. Step 3: Cross multiply
    264,790x = 567,484 × 567,484
  4. Step 4: Simplify right side
    264,790x = 322,038,090,256
  5. Step 5: Solve for x
    x = 322,038,090,256/264,790
  6. Step 6: Final answer
    x = 1,216,201.86

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.