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Finding the Third Proportional to 303,696 and 657,468

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Solution

The third proportional to 303,696 and 657,468 is: 1,423,344.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,696 : 657,468 = 657,468 : x
  2. Step 2: Convert to fraction form
    303,696/657,468 = 657,468/x
  3. Step 3: Cross multiply
    303,696x = 657,468 × 657,468
  4. Step 4: Simplify right side
    303,696x = 432,264,171,024
  5. Step 5: Solve for x
    x = 432,264,171,024/303,696
  6. Step 6: Final answer
    x = 1,423,344.96

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.