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Finding the Third Proportional to 319,617 and 710,176

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Solution

The third proportional to 319,617 and 710,176 is: 1,577,982.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,617 : 710,176 = 710,176 : x
  2. Step 2: Convert to fraction form
    319,617/710,176 = 710,176/x
  3. Step 3: Cross multiply
    319,617x = 710,176 × 710,176
  4. Step 4: Simplify right side
    319,617x = 504,349,950,976
  5. Step 5: Solve for x
    x = 504,349,950,976/319,617
  6. Step 6: Final answer
    x = 1,577,982.24

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.