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Finding the Third Proportional to 369,264 and 803,328

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Solution

The third proportional to 369,264 and 803,328 is: 1,747,627.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,264 : 803,328 = 803,328 : x
  2. Step 2: Convert to fraction form
    369,264/803,328 = 803,328/x
  3. Step 3: Cross multiply
    369,264x = 803,328 × 803,328
  4. Step 4: Simplify right side
    369,264x = 645,335,875,584
  5. Step 5: Solve for x
    x = 645,335,875,584/369,264
  6. Step 6: Final answer
    x = 1,747,627.38

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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.