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Finding the Third Proportional to 315,054 and 478,406.25

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Solution

The third proportional to 315,054 and 478,406.25 is: 726,454.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,054 : 478,406.25 = 478,406.25 : x
  2. Step 2: Convert to fraction form
    315,054/478,406.25 = 478,406.25/x
  3. Step 3: Cross multiply
    315,054x = 478,406.25 × 478,406.25
  4. Step 4: Simplify right side
    315,054x = 228,872,540,039.06
  5. Step 5: Solve for x
    x = 228,872,540,039.06/315,054
  6. Step 6: Final answer
    x = 726,454.96

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