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Finding the Third Proportional to 376,785 and 561,285.50

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Solution

The third proportional to 376,785 and 561,285.50 is: 836,130.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,785 : 561,285.50 = 561,285.50 : x
  2. Step 2: Convert to fraction form
    376,785/561,285.50 = 561,285.50/x
  3. Step 3: Cross multiply
    376,785x = 561,285.50 × 561,285.50
  4. Step 4: Simplify right side
    376,785x = 315,041,412,510.25
  5. Step 5: Solve for x
    x = 315,041,412,510.25/376,785
  6. Step 6: Final answer
    x = 836,130.45

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.