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Finding the Third Proportional to 317,808 and 466,984

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Solution

The third proportional to 317,808 and 466,984 is: 686,181.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,808 : 466,984 = 466,984 : x
  2. Step 2: Convert to fraction form
    317,808/466,984 = 466,984/x
  3. Step 3: Cross multiply
    317,808x = 466,984 × 466,984
  4. Step 4: Simplify right side
    317,808x = 218,074,056,256
  5. Step 5: Solve for x
    x = 218,074,056,256/317,808
  6. Step 6: Final answer
    x = 686,181.77

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.