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Finding the Third Proportional to 277,528 and 606,419

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Solution

The third proportional to 277,528 and 606,419 is: 1,325,069.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,528 : 606,419 = 606,419 : x
  2. Step 2: Convert to fraction form
    277,528/606,419 = 606,419/x
  3. Step 3: Cross multiply
    277,528x = 606,419 × 606,419
  4. Step 4: Simplify right side
    277,528x = 367,744,003,561
  5. Step 5: Solve for x
    x = 367,744,003,561/277,528
  6. Step 6: Final answer
    x = 1,325,069.92

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.