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Finding the Third Proportional to 277,719 and 597,627

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Solution

The third proportional to 277,719 and 597,627 is: 1,286,041.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,719 : 597,627 = 597,627 : x
  2. Step 2: Convert to fraction form
    277,719/597,627 = 597,627/x
  3. Step 3: Cross multiply
    277,719x = 597,627 × 597,627
  4. Step 4: Simplify right side
    277,719x = 357,158,031,129
  5. Step 5: Solve for x
    x = 357,158,031,129/277,719
  6. Step 6: Final answer
    x = 1,286,041.04

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.