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Finding the Third Proportional to 351,098 and 529,746

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Solution

The third proportional to 351,098 and 529,746 is: 799,294.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,098 : 529,746 = 529,746 : x
  2. Step 2: Convert to fraction form
    351,098/529,746 = 529,746/x
  3. Step 3: Cross multiply
    351,098x = 529,746 × 529,746
  4. Step 4: Simplify right side
    351,098x = 280,630,824,516
  5. Step 5: Solve for x
    x = 280,630,824,516/351,098
  6. Step 6: Final answer
    x = 799,294.85

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.