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Finding the Third Proportional to 358,416 and 529,452

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Solution

The third proportional to 358,416 and 529,452 is: 782,106.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,416 : 529,452 = 529,452 : x
  2. Step 2: Convert to fraction form
    358,416/529,452 = 529,452/x
  3. Step 3: Cross multiply
    358,416x = 529,452 × 529,452
  4. Step 4: Simplify right side
    358,416x = 280,319,420,304
  5. Step 5: Solve for x
    x = 280,319,420,304/358,416
  6. Step 6: Final answer
    x = 782,106.32

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.