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Finding the Third Proportional to 319,396 and 752,770

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Solution

The third proportional to 319,396 and 752,770 is: 1,774,169.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,396 : 752,770 = 752,770 : x
  2. Step 2: Convert to fraction form
    319,396/752,770 = 752,770/x
  3. Step 3: Cross multiply
    319,396x = 752,770 × 752,770
  4. Step 4: Simplify right side
    319,396x = 566,662,672,900
  5. Step 5: Solve for x
    x = 566,662,672,900/319,396
  6. Step 6: Final answer
    x = 1,774,169.60

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.