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Finding the Third Proportional to 270,429 and 577,053

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Solution

The third proportional to 270,429 and 577,053 is: 1,231,340.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,429 : 577,053 = 577,053 : x
  2. Step 2: Convert to fraction form
    270,429/577,053 = 577,053/x
  3. Step 3: Cross multiply
    270,429x = 577,053 × 577,053
  4. Step 4: Simplify right side
    270,429x = 332,990,164,809
  5. Step 5: Solve for x
    x = 332,990,164,809/270,429
  6. Step 6: Final answer
    x = 1,231,340.44

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.