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Finding the Third Proportional to 325,780 and 707,264

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Solution

The third proportional to 325,780 and 707,264 is: 1,535,460.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,780 : 707,264 = 707,264 : x
  2. Step 2: Convert to fraction form
    325,780/707,264 = 707,264/x
  3. Step 3: Cross multiply
    325,780x = 707,264 × 707,264
  4. Step 4: Simplify right side
    325,780x = 500,222,365,696
  5. Step 5: Solve for x
    x = 500,222,365,696/325,780
  6. Step 6: Final answer
    x = 1,535,460.64

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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.