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Finding the Third Proportional to 322,080 and 473,648

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Solution

The third proportional to 322,080 and 473,648 is: 696,542.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,080 : 473,648 = 473,648 : x
  2. Step 2: Convert to fraction form
    322,080/473,648 = 473,648/x
  3. Step 3: Cross multiply
    322,080x = 473,648 × 473,648
  4. Step 4: Simplify right side
    322,080x = 224,342,427,904
  5. Step 5: Solve for x
    x = 224,342,427,904/322,080
  6. Step 6: Final answer
    x = 696,542.56

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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.