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Finding the Third Proportional to 403,326 and 532,386

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Solution

The third proportional to 403,326 and 532,386 is: 702,743.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,326 : 532,386 = 532,386 : x
  2. Step 2: Convert to fraction form
    403,326/532,386 = 532,386/x
  3. Step 3: Cross multiply
    403,326x = 532,386 × 532,386
  4. Step 4: Simplify right side
    403,326x = 283,434,852,996
  5. Step 5: Solve for x
    x = 283,434,852,996/403,326
  6. Step 6: Final answer
    x = 702,743.82

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.