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Finding the Third Proportional to 313,284 and 696,328

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Solution

The third proportional to 313,284 and 696,328 is: 1,547,709.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,284 : 696,328 = 696,328 : x
  2. Step 2: Convert to fraction form
    313,284/696,328 = 696,328/x
  3. Step 3: Cross multiply
    313,284x = 696,328 × 696,328
  4. Step 4: Simplify right side
    313,284x = 484,872,683,584
  5. Step 5: Solve for x
    x = 484,872,683,584/313,284
  6. Step 6: Final answer
    x = 1,547,709.69

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.