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Finding the Third Proportional to 300,480 and 463,848

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Solution

The third proportional to 300,480 and 463,848 is: 716,037.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,480 : 463,848 = 463,848 : x
  2. Step 2: Convert to fraction form
    300,480/463,848 = 463,848/x
  3. Step 3: Cross multiply
    300,480x = 463,848 × 463,848
  4. Step 4: Simplify right side
    300,480x = 215,154,967,104
  5. Step 5: Solve for x
    x = 215,154,967,104/300,480
  6. Step 6: Final answer
    x = 716,037.56

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.