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Finding the Third Proportional to 245,452 and 529,564

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Solution

The third proportional to 245,452 and 529,564 is: 1,142,537.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,452 : 529,564 = 529,564 : x
  2. Step 2: Convert to fraction form
    245,452/529,564 = 529,564/x
  3. Step 3: Cross multiply
    245,452x = 529,564 × 529,564
  4. Step 4: Simplify right side
    245,452x = 280,438,030,096
  5. Step 5: Solve for x
    x = 280,438,030,096/245,452
  6. Step 6: Final answer
    x = 1,142,537.16

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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.