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Finding the Third Proportional to 296,696 and 657,460

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Solution

The third proportional to 296,696 and 657,460 is: 1,456,890.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,696 : 657,460 = 657,460 : x
  2. Step 2: Convert to fraction form
    296,696/657,460 = 657,460/x
  3. Step 3: Cross multiply
    296,696x = 657,460 × 657,460
  4. Step 4: Simplify right side
    296,696x = 432,253,651,600
  5. Step 5: Solve for x
    x = 432,253,651,600/296,696
  6. Step 6: Final answer
    x = 1,456,890.73

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.