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Finding the Third Proportional to 344,152.13 and 738,127.69

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Solution

The third proportional to 344,152.13 and 738,127.69 is: 1,583,115.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,152.13 : 738,127.69 = 738,127.69 : x
  2. Step 2: Convert to fraction form
    344,152.13/738,127.69 = 738,127.69/x
  3. Step 3: Cross multiply
    344,152.13x = 738,127.69 × 738,127.69
  4. Step 4: Simplify right side
    344,152.13x = 544,832,483,054.10
  5. Step 5: Solve for x
    x = 544,832,483,054.10/344,152.13
  6. Step 6: Final answer
    x = 1,583,115.27

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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.