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Finding the Third Proportional to 715,313 and 1,002,580

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Solution

The third proportional to 715,313 and 1,002,580 is: 1,405,212.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    715,313 : 1,002,580 = 1,002,580 : x
  2. Step 2: Convert to fraction form
    715,313/1,002,580 = 1,002,580/x
  3. Step 3: Cross multiply
    715,313x = 1,002,580 × 1,002,580
  4. Step 4: Simplify right side
    715,313x = 1,005,166,656,400
  5. Step 5: Solve for x
    x = 1,005,166,656,400/715,313
  6. Step 6: Final answer
    x = 1,405,212.34

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.