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Finding the Third Proportional to 344,165.63 and 738,152.44

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Solution

The third proportional to 344,165.63 and 738,152.44 is: 1,583,159.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,165.63 : 738,152.44 = 738,152.44 : x
  2. Step 2: Convert to fraction form
    344,165.63/738,152.44 = 738,152.44/x
  3. Step 3: Cross multiply
    344,165.63x = 738,152.44 × 738,152.44
  4. Step 4: Simplify right side
    344,165.63x = 544,869,020,987.19
  5. Step 5: Solve for x
    x = 544,869,020,987.19/344,165.63
  6. Step 6: Final answer
    x = 1,583,159.33

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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.