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Finding the Third Proportional to 265,414 and 577,483

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Solution

The third proportional to 265,414 and 577,483 is: 1,256,477.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,414 : 577,483 = 577,483 : x
  2. Step 2: Convert to fraction form
    265,414/577,483 = 577,483/x
  3. Step 3: Cross multiply
    265,414x = 577,483 × 577,483
  4. Step 4: Simplify right side
    265,414x = 333,486,615,289
  5. Step 5: Solve for x
    x = 333,486,615,289/265,414
  6. Step 6: Final answer
    x = 1,256,477.11

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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.