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Finding the Third Proportional to 317,264 and 463,960

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Solution

The third proportional to 317,264 and 463,960 is: 678,485.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,264 : 463,960 = 463,960 : x
  2. Step 2: Convert to fraction form
    317,264/463,960 = 463,960/x
  3. Step 3: Cross multiply
    317,264x = 463,960 × 463,960
  4. Step 4: Simplify right side
    317,264x = 215,258,881,600
  5. Step 5: Solve for x
    x = 215,258,881,600/317,264
  6. Step 6: Final answer
    x = 678,485.05

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.