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Finding the Third Proportional to 503,082 and 785,250

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Solution

The third proportional to 503,082 and 785,250 is: 1,225,680.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,082 : 785,250 = 785,250 : x
  2. Step 2: Convert to fraction form
    503,082/785,250 = 785,250/x
  3. Step 3: Cross multiply
    503,082x = 785,250 × 785,250
  4. Step 4: Simplify right side
    503,082x = 616,617,562,500
  5. Step 5: Solve for x
    x = 616,617,562,500/503,082
  6. Step 6: Final answer
    x = 1,225,680.03

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Why These Related Problems?

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