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Finding the Third Proportional to 295,627 and 650,297

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Solution

The third proportional to 295,627 and 650,297 is: 1,430,472.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,627 : 650,297 = 650,297 : x
  2. Step 2: Convert to fraction form
    295,627/650,297 = 650,297/x
  3. Step 3: Cross multiply
    295,627x = 650,297 × 650,297
  4. Step 4: Simplify right side
    295,627x = 422,886,188,209
  5. Step 5: Solve for x
    x = 422,886,188,209/295,627
  6. Step 6: Final answer
    x = 1,430,472.14

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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.