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Finding the Third Proportional to 565,523 and 743,295

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Solution

The third proportional to 565,523 and 743,295 is: 976,949.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,523 : 743,295 = 743,295 : x
  2. Step 2: Convert to fraction form
    565,523/743,295 = 743,295/x
  3. Step 3: Cross multiply
    565,523x = 743,295 × 743,295
  4. Step 4: Simplify right side
    565,523x = 552,487,457,025
  5. Step 5: Solve for x
    x = 552,487,457,025/565,523
  6. Step 6: Final answer
    x = 976,949.58

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.