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Finding the Third Proportional to 338,940 and 730,368

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Solution

The third proportional to 338,940 and 730,368 is: 1,573,840.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,940 : 730,368 = 730,368 : x
  2. Step 2: Convert to fraction form
    338,940/730,368 = 730,368/x
  3. Step 3: Cross multiply
    338,940x = 730,368 × 730,368
  4. Step 4: Simplify right side
    338,940x = 533,437,415,424
  5. Step 5: Solve for x
    x = 533,437,415,424/338,940
  6. Step 6: Final answer
    x = 1,573,840.25

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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.