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Finding the Third Proportional to 338,260 and 727,550

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Solution

The third proportional to 338,260 and 727,550 is: 1,564,858.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,260 : 727,550 = 727,550 : x
  2. Step 2: Convert to fraction form
    338,260/727,550 = 727,550/x
  3. Step 3: Cross multiply
    338,260x = 727,550 × 727,550
  4. Step 4: Simplify right side
    338,260x = 529,329,002,500
  5. Step 5: Solve for x
    x = 529,329,002,500/338,260
  6. Step 6: Final answer
    x = 1,564,858.40

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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.