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Finding the Third Proportional to 503,785 and 755,365

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Solution

The third proportional to 503,785 and 755,365 is: 1,132,578.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,785 : 755,365 = 755,365 : x
  2. Step 2: Convert to fraction form
    503,785/755,365 = 755,365/x
  3. Step 3: Cross multiply
    503,785x = 755,365 × 755,365
  4. Step 4: Simplify right side
    503,785x = 570,576,283,225
  5. Step 5: Solve for x
    x = 570,576,283,225/503,785
  6. Step 6: Final answer
    x = 1,132,578.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.