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Finding the Third Proportional to 295,688 and 452,401

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Solution

The third proportional to 295,688 and 452,401 is: 692,171.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,688 : 452,401 = 452,401 : x
  2. Step 2: Convert to fraction form
    295,688/452,401 = 452,401/x
  3. Step 3: Cross multiply
    295,688x = 452,401 × 452,401
  4. Step 4: Simplify right side
    295,688x = 204,666,664,801
  5. Step 5: Solve for x
    x = 204,666,664,801/295,688
  6. Step 6: Final answer
    x = 692,171.02

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.