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Finding the Third Proportional to 357,453 and 785,751

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Solution

The third proportional to 357,453 and 785,751 is: 1,727,233.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,453 : 785,751 = 785,751 : x
  2. Step 2: Convert to fraction form
    357,453/785,751 = 785,751/x
  3. Step 3: Cross multiply
    357,453x = 785,751 × 785,751
  4. Step 4: Simplify right side
    357,453x = 617,404,634,001
  5. Step 5: Solve for x
    x = 617,404,634,001/357,453
  6. Step 6: Final answer
    x = 1,727,233.05

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.