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Finding the Third Proportional to 350,088 and 713,010

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Solution

The third proportional to 350,088 and 713,010 is: 1,452,158.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,088 : 713,010 = 713,010 : x
  2. Step 2: Convert to fraction form
    350,088/713,010 = 713,010/x
  3. Step 3: Cross multiply
    350,088x = 713,010 × 713,010
  4. Step 4: Simplify right side
    350,088x = 508,383,260,100
  5. Step 5: Solve for x
    x = 508,383,260,100/350,088
  6. Step 6: Final answer
    x = 1,452,158.49

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.