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Finding the Third Proportional to 344,145 and 738,127.50

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Solution

The third proportional to 344,145 and 738,127.50 is: 1,583,147.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,145 : 738,127.50 = 738,127.50 : x
  2. Step 2: Convert to fraction form
    344,145/738,127.50 = 738,127.50/x
  3. Step 3: Cross multiply
    344,145x = 738,127.50 × 738,127.50
  4. Step 4: Simplify right side
    344,145x = 544,832,206,256.25
  5. Step 5: Solve for x
    x = 544,832,206,256.25/344,145
  6. Step 6: Final answer
    x = 1,583,147.24

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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.