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Finding the Third Proportional to 354,390 and 544,710

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Solution

The third proportional to 354,390 and 544,710 is: 837,238.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,390 : 544,710 = 544,710 : x
  2. Step 2: Convert to fraction form
    354,390/544,710 = 544,710/x
  3. Step 3: Cross multiply
    354,390x = 544,710 × 544,710
  4. Step 4: Simplify right side
    354,390x = 296,708,984,100
  5. Step 5: Solve for x
    x = 296,708,984,100/354,390
  6. Step 6: Final answer
    x = 837,238.59

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.