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Finding the Third Proportional to 345,248 and 529,946

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Solution

The third proportional to 345,248 and 529,946 is: 813,452.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,248 : 529,946 = 529,946 : x
  2. Step 2: Convert to fraction form
    345,248/529,946 = 529,946/x
  3. Step 3: Cross multiply
    345,248x = 529,946 × 529,946
  4. Step 4: Simplify right side
    345,248x = 280,842,762,916
  5. Step 5: Solve for x
    x = 280,842,762,916/345,248
  6. Step 6: Final answer
    x = 813,452.25

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.