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Finding the Third Proportional to 295,695 and 452,411

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Solution

The third proportional to 295,695 and 452,411 is: 692,185.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,695 : 452,411 = 452,411 : x
  2. Step 2: Convert to fraction form
    295,695/452,411 = 452,411/x
  3. Step 3: Cross multiply
    295,695x = 452,411 × 452,411
  4. Step 4: Simplify right side
    295,695x = 204,675,712,921
  5. Step 5: Solve for x
    x = 204,675,712,921/295,695
  6. Step 6: Final answer
    x = 692,185.23

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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.