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Finding the Third Proportional to 245,344 and 529,356

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Solution

The third proportional to 245,344 and 529,356 is: 1,142,142.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,344 : 529,356 = 529,356 : x
  2. Step 2: Convert to fraction form
    245,344/529,356 = 529,356/x
  3. Step 3: Cross multiply
    245,344x = 529,356 × 529,356
  4. Step 4: Simplify right side
    245,344x = 280,217,774,736
  5. Step 5: Solve for x
    x = 280,217,774,736/245,344
  6. Step 6: Final answer
    x = 1,142,142.36

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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.