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Finding the Third Proportional to 300,971.63 and 626,854.50

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Solution

The third proportional to 300,971.63 and 626,854.50 is: 1,305,593.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,971.63 : 626,854.50 = 626,854.50 : x
  2. Step 2: Convert to fraction form
    300,971.63/626,854.50 = 626,854.50/x
  3. Step 3: Cross multiply
    300,971.63x = 626,854.50 × 626,854.50
  4. Step 4: Simplify right side
    300,971.63x = 392,946,564,170.25
  5. Step 5: Solve for x
    x = 392,946,564,170.25/300,971.63
  6. Step 6: Final answer
    x = 1,305,593.39

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.