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Finding the Third Proportional to 344,130 and 754,350

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Solution

The third proportional to 344,130 and 754,350 is: 1,653,572.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,130 : 754,350 = 754,350 : x
  2. Step 2: Convert to fraction form
    344,130/754,350 = 754,350/x
  3. Step 3: Cross multiply
    344,130x = 754,350 × 754,350
  4. Step 4: Simplify right side
    344,130x = 569,043,922,500
  5. Step 5: Solve for x
    x = 569,043,922,500/344,130
  6. Step 6: Final answer
    x = 1,653,572.55

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.