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Finding the Third Proportional to 350,814 and 745,356

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Solution

The third proportional to 350,814 and 745,356 is: 1,583,618.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,814 : 745,356 = 745,356 : x
  2. Step 2: Convert to fraction form
    350,814/745,356 = 745,356/x
  3. Step 3: Cross multiply
    350,814x = 745,356 × 745,356
  4. Step 4: Simplify right side
    350,814x = 555,555,566,736
  5. Step 5: Solve for x
    x = 555,555,566,736/350,814
  6. Step 6: Final answer
    x = 1,583,618.57

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.