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Finding the Third Proportional to 296,613 and 635,261

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Solution

The third proportional to 296,613 and 635,261 is: 1,360,549.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,613 : 635,261 = 635,261 : x
  2. Step 2: Convert to fraction form
    296,613/635,261 = 635,261/x
  3. Step 3: Cross multiply
    296,613x = 635,261 × 635,261
  4. Step 4: Simplify right side
    296,613x = 403,556,538,121
  5. Step 5: Solve for x
    x = 403,556,538,121/296,613
  6. Step 6: Final answer
    x = 1,360,549.06

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.