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Finding the Third Proportional to 358,386 and 769,893

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Solution

The third proportional to 358,386 and 769,893 is: 1,653,901.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,386 : 769,893 = 769,893 : x
  2. Step 2: Convert to fraction form
    358,386/769,893 = 769,893/x
  3. Step 3: Cross multiply
    358,386x = 769,893 × 769,893
  4. Step 4: Simplify right side
    358,386x = 592,735,231,449
  5. Step 5: Solve for x
    x = 592,735,231,449/358,386
  6. Step 6: Final answer
    x = 1,653,901.75

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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.