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Finding the Third Proportional to 315,069 and 478,429

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Solution

The third proportional to 315,069 and 478,429 is: 726,489.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,069 : 478,429 = 478,429 : x
  2. Step 2: Convert to fraction form
    315,069/478,429 = 478,429/x
  3. Step 3: Cross multiply
    315,069x = 478,429 × 478,429
  4. Step 4: Simplify right side
    315,069x = 228,894,308,041
  5. Step 5: Solve for x
    x = 228,894,308,041/315,069
  6. Step 6: Final answer
    x = 726,489.46

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.