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Finding the Third Proportional to 296,839 and 700,033

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Solution

The third proportional to 296,839 and 700,033 is: 1,650,882.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,839 : 700,033 = 700,033 : x
  2. Step 2: Convert to fraction form
    296,839/700,033 = 700,033/x
  3. Step 3: Cross multiply
    296,839x = 700,033 × 700,033
  4. Step 4: Simplify right side
    296,839x = 490,046,201,089
  5. Step 5: Solve for x
    x = 490,046,201,089/296,839
  6. Step 6: Final answer
    x = 1,650,882.13

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.