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Finding the Third Proportional to 356,556 and 783,087

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Solution

The third proportional to 356,556 and 783,087 is: 1,719,856.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,556 : 783,087 = 783,087 : x
  2. Step 2: Convert to fraction form
    356,556/783,087 = 783,087/x
  3. Step 3: Cross multiply
    356,556x = 783,087 × 783,087
  4. Step 4: Simplify right side
    356,556x = 613,225,249,569
  5. Step 5: Solve for x
    x = 613,225,249,569/356,556
  6. Step 6: Final answer
    x = 1,719,856.77

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.