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Finding the Third Proportional to 362,284 and 532,342

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Solution

The third proportional to 362,284 and 532,342 is: 782,226.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,284 : 532,342 = 532,342 : x
  2. Step 2: Convert to fraction form
    362,284/532,342 = 532,342/x
  3. Step 3: Cross multiply
    362,284x = 532,342 × 532,342
  4. Step 4: Simplify right side
    362,284x = 283,388,004,964
  5. Step 5: Solve for x
    x = 283,388,004,964/362,284
  6. Step 6: Final answer
    x = 782,226.11

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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.