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Finding the Third Proportional to 361,912 and 532,342

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Solution

The third proportional to 361,912 and 532,342 is: 783,030.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,912 : 532,342 = 532,342 : x
  2. Step 2: Convert to fraction form
    361,912/532,342 = 532,342/x
  3. Step 3: Cross multiply
    361,912x = 532,342 × 532,342
  4. Step 4: Simplify right side
    361,912x = 283,388,004,964
  5. Step 5: Solve for x
    x = 283,388,004,964/361,912
  6. Step 6: Final answer
    x = 783,030.14

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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.