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Finding the Third Proportional to 335,362 and 498,486

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Solution

The third proportional to 335,362 and 498,486 is: 740,955.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,362 : 498,486 = 498,486 : x
  2. Step 2: Convert to fraction form
    335,362/498,486 = 498,486/x
  3. Step 3: Cross multiply
    335,362x = 498,486 × 498,486
  4. Step 4: Simplify right side
    335,362x = 248,488,292,196
  5. Step 5: Solve for x
    x = 248,488,292,196/335,362
  6. Step 6: Final answer
    x = 740,955.42

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.