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Finding the Third Proportional to 361,472.50 and 785,170.50

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Solution

The third proportional to 361,472.50 and 785,170.50 is: 1,705,503.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,472.50 : 785,170.50 = 785,170.50 : x
  2. Step 2: Convert to fraction form
    361,472.50/785,170.50 = 785,170.50/x
  3. Step 3: Cross multiply
    361,472.50x = 785,170.50 × 785,170.50
  4. Step 4: Simplify right side
    361,472.50x = 616,492,714,070.25
  5. Step 5: Solve for x
    x = 616,492,714,070.25/361,472.50
  6. Step 6: Final answer
    x = 1,705,503.78

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.