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Finding the Third Proportional to 297,967.04 and 646,730.26

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Solution

The third proportional to 297,967.04 and 646,730.26 is: 1,403,712.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,967.04 : 646,730.26 = 646,730.26 : x
  2. Step 2: Convert to fraction form
    297,967.04/646,730.26 = 646,730.26/x
  3. Step 3: Cross multiply
    297,967.04x = 646,730.26 × 646,730.26
  4. Step 4: Simplify right side
    297,967.04x = 418,260,031,422.80
  5. Step 5: Solve for x
    x = 418,260,031,422.80/297,967.04
  6. Step 6: Final answer
    x = 1,403,712.39

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.