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Finding the Third Proportional to 296,894 and 647,071

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Solution

The third proportional to 296,894 and 647,071 is: 1,410,270.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,894 : 647,071 = 647,071 : x
  2. Step 2: Convert to fraction form
    296,894/647,071 = 647,071/x
  3. Step 3: Cross multiply
    296,894x = 647,071 × 647,071
  4. Step 4: Simplify right side
    296,894x = 418,700,879,041
  5. Step 5: Solve for x
    x = 418,700,879,041/296,894
  6. Step 6: Final answer
    x = 1,410,270.60

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.