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Finding the Third Proportional to 296,646 and 614,319

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Solution

The third proportional to 296,646 and 614,319 is: 1,272,182.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,646 : 614,319 = 614,319 : x
  2. Step 2: Convert to fraction form
    296,646/614,319 = 614,319/x
  3. Step 3: Cross multiply
    296,646x = 614,319 × 614,319
  4. Step 4: Simplify right side
    296,646x = 377,387,833,761
  5. Step 5: Solve for x
    x = 377,387,833,761/296,646
  6. Step 6: Final answer
    x = 1,272,182.45

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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.