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Finding the Third Proportional to 323,262 and 705,264

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Solution

The third proportional to 323,262 and 705,264 is: 1,538,681.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,262 : 705,264 = 705,264 : x
  2. Step 2: Convert to fraction form
    323,262/705,264 = 705,264/x
  3. Step 3: Cross multiply
    323,262x = 705,264 × 705,264
  4. Step 4: Simplify right side
    323,262x = 497,397,309,696
  5. Step 5: Solve for x
    x = 497,397,309,696/323,262
  6. Step 6: Final answer
    x = 1,538,681.66

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.