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Finding the Third Proportional to 368,384 and 540,488

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Solution

The third proportional to 368,384 and 540,488 is: 792,996.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,384 : 540,488 = 540,488 : x
  2. Step 2: Convert to fraction form
    368,384/540,488 = 540,488/x
  3. Step 3: Cross multiply
    368,384x = 540,488 × 540,488
  4. Step 4: Simplify right side
    368,384x = 292,127,278,144
  5. Step 5: Solve for x
    x = 292,127,278,144/368,384
  6. Step 6: Final answer
    x = 792,996.65

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.