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Finding the Third Proportional to 315,152 and 472,956

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Solution

The third proportional to 315,152 and 472,956 is: 709,776.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,152 : 472,956 = 472,956 : x
  2. Step 2: Convert to fraction form
    315,152/472,956 = 472,956/x
  3. Step 3: Cross multiply
    315,152x = 472,956 × 472,956
  4. Step 4: Simplify right side
    315,152x = 223,687,377,936
  5. Step 5: Solve for x
    x = 223,687,377,936/315,152
  6. Step 6: Final answer
    x = 709,776.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.