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Finding the Third Proportional to 245,295 and 529,962

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Solution

The third proportional to 245,295 and 529,962 is: 1,144,987.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,295 : 529,962 = 529,962 : x
  2. Step 2: Convert to fraction form
    245,295/529,962 = 529,962/x
  3. Step 3: Cross multiply
    245,295x = 529,962 × 529,962
  4. Step 4: Simplify right side
    245,295x = 280,859,721,444
  5. Step 5: Solve for x
    x = 280,859,721,444/245,295
  6. Step 6: Final answer
    x = 1,144,987.55

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.