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Finding the Third Proportional to 315,066 and 478,424.25

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Solution

The third proportional to 315,066 and 478,424.25 is: 726,481.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,066 : 478,424.25 = 478,424.25 : x
  2. Step 2: Convert to fraction form
    315,066/478,424.25 = 478,424.25/x
  3. Step 3: Cross multiply
    315,066x = 478,424.25 × 478,424.25
  4. Step 4: Simplify right side
    315,066x = 228,889,762,988.06
  5. Step 5: Solve for x
    x = 228,889,762,988.06/315,066
  6. Step 6: Final answer
    x = 726,481.95

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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.