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Finding the Third Proportional to 296,657 and 614,341

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Solution

The third proportional to 296,657 and 614,341 is: 1,272,226.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,657 : 614,341 = 614,341 : x
  2. Step 2: Convert to fraction form
    296,657/614,341 = 614,341/x
  3. Step 3: Cross multiply
    296,657x = 614,341 × 614,341
  4. Step 4: Simplify right side
    296,657x = 377,414,864,281
  5. Step 5: Solve for x
    x = 377,414,864,281/296,657
  6. Step 6: Final answer
    x = 1,272,226.39

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.