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Finding the Third Proportional to 503,018 and 785,144.50

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Solution

The third proportional to 503,018 and 785,144.50 is: 1,225,506.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,018 : 785,144.50 = 785,144.50 : x
  2. Step 2: Convert to fraction form
    503,018/785,144.50 = 785,144.50/x
  3. Step 3: Cross multiply
    503,018x = 785,144.50 × 785,144.50
  4. Step 4: Simplify right side
    503,018x = 616,451,885,880.25
  5. Step 5: Solve for x
    x = 616,451,885,880.25/503,018
  6. Step 6: Final answer
    x = 1,225,506.61

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.