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Finding the Third Proportional to 358,382 and 769,894

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Solution

The third proportional to 358,382 and 769,894 is: 1,653,924.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,382 : 769,894 = 769,894 : x
  2. Step 2: Convert to fraction form
    358,382/769,894 = 769,894/x
  3. Step 3: Cross multiply
    358,382x = 769,894 × 769,894
  4. Step 4: Simplify right side
    358,382x = 592,736,771,236
  5. Step 5: Solve for x
    x = 592,736,771,236/358,382
  6. Step 6: Final answer
    x = 1,653,924.50

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.