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Finding the Third Proportional to 341,162,784 and 498,949,072

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Solution

The third proportional to 341,162,784 and 498,949,072 is: 729,710,824.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,162,784 : 498,949,072 = 498,949,072 : x
  2. Step 2: Convert to fraction form
    341,162,784/498,949,072 = 498,949,072/x
  3. Step 3: Cross multiply
    341,162,784x = 498,949,072 × 498,949,072
  4. Step 4: Simplify right side
    341,162,784x = 248,950,176,449,661,184
  5. Step 5: Solve for x
    x = 248,950,176,449,661,184/341,162,784
  6. Step 6: Final answer
    x = 729,710,824.64

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.