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Finding the Third Proportional to 472,018.50 and 725,946.75

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Solution

The third proportional to 472,018.50 and 725,946.75 is: 1,116,478.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,018.50 : 725,946.75 = 725,946.75 : x
  2. Step 2: Convert to fraction form
    472,018.50/725,946.75 = 725,946.75/x
  3. Step 3: Cross multiply
    472,018.50x = 725,946.75 × 725,946.75
  4. Step 4: Simplify right side
    472,018.50x = 526,998,683,835.56
  5. Step 5: Solve for x
    x = 526,998,683,835.56/472,018.50
  6. Step 6: Final answer
    x = 1,116,478.87

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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.