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Finding the Third Proportional to 335,359 and 498,482

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Solution

The third proportional to 335,359 and 498,482 is: 740,950.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,359 : 498,482 = 498,482 : x
  2. Step 2: Convert to fraction form
    335,359/498,482 = 498,482/x
  3. Step 3: Cross multiply
    335,359x = 498,482 × 498,482
  4. Step 4: Simplify right side
    335,359x = 248,484,304,324
  5. Step 5: Solve for x
    x = 248,484,304,324/335,359
  6. Step 6: Final answer
    x = 740,950.16

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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.