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Finding the Third Proportional to 373,248 and 805,416

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Solution

The third proportional to 373,248 and 805,416 is: 1,737,972.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    373,248 : 805,416 = 805,416 : x
  2. Step 2: Convert to fraction form
    373,248/805,416 = 805,416/x
  3. Step 3: Cross multiply
    373,248x = 805,416 × 805,416
  4. Step 4: Simplify right side
    373,248x = 648,694,933,056
  5. Step 5: Solve for x
    x = 648,694,933,056/373,248
  6. Step 6: Final answer
    x = 1,737,972.96

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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.