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Finding the Third Proportional to 358,056 and 780,048

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Solution

The third proportional to 358,056 and 780,048 is: 1,699,384.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,056 : 780,048 = 780,048 : x
  2. Step 2: Convert to fraction form
    358,056/780,048 = 780,048/x
  3. Step 3: Cross multiply
    358,056x = 780,048 × 780,048
  4. Step 4: Simplify right side
    358,056x = 608,474,882,304
  5. Step 5: Solve for x
    x = 608,474,882,304/358,056
  6. Step 6: Final answer
    x = 1,699,384.68

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.