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Finding the Third Proportional to 317,852 and 495,552

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Solution

The third proportional to 317,852 and 495,552 is: 772,597.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,852 : 495,552 = 495,552 : x
  2. Step 2: Convert to fraction form
    317,852/495,552 = 495,552/x
  3. Step 3: Cross multiply
    317,852x = 495,552 × 495,552
  4. Step 4: Simplify right side
    317,852x = 245,571,784,704
  5. Step 5: Solve for x
    x = 245,571,784,704/317,852
  6. Step 6: Final answer
    x = 772,597.89

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.