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Finding the Third Proportional to 354,901.50 and 542,983.50

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Solution

The third proportional to 354,901.50 and 542,983.50 is: 830,740.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,901.50 : 542,983.50 = 542,983.50 : x
  2. Step 2: Convert to fraction form
    354,901.50/542,983.50 = 542,983.50/x
  3. Step 3: Cross multiply
    354,901.50x = 542,983.50 × 542,983.50
  4. Step 4: Simplify right side
    354,901.50x = 294,831,081,272.25
  5. Step 5: Solve for x
    x = 294,831,081,272.25/354,901.50
  6. Step 6: Final answer
    x = 830,740.59

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.