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Finding the Third Proportional to 245,376 and 529,416

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Solution

The third proportional to 245,376 and 529,416 is: 1,142,252.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,376 : 529,416 = 529,416 : x
  2. Step 2: Convert to fraction form
    245,376/529,416 = 529,416/x
  3. Step 3: Cross multiply
    245,376x = 529,416 × 529,416
  4. Step 4: Simplify right side
    245,376x = 280,281,301,056
  5. Step 5: Solve for x
    x = 280,281,301,056/245,376
  6. Step 6: Final answer
    x = 1,142,252.30

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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.