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Finding the Third Proportional to 362,319 and 786,969

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Solution

The third proportional to 362,319 and 786,969 is: 1,709,323.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,319 : 786,969 = 786,969 : x
  2. Step 2: Convert to fraction form
    362,319/786,969 = 786,969/x
  3. Step 3: Cross multiply
    362,319x = 786,969 × 786,969
  4. Step 4: Simplify right side
    362,319x = 619,320,206,961
  5. Step 5: Solve for x
    x = 619,320,206,961/362,319
  6. Step 6: Final answer
    x = 1,709,323.02

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.