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Finding the Third Proportional to 351,295 and 772,569

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Solution

The third proportional to 351,295 and 772,569 is: 1,699,036.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,295 : 772,569 = 772,569 : x
  2. Step 2: Convert to fraction form
    351,295/772,569 = 772,569/x
  3. Step 3: Cross multiply
    351,295x = 772,569 × 772,569
  4. Step 4: Simplify right side
    351,295x = 596,862,859,761
  5. Step 5: Solve for x
    x = 596,862,859,761/351,295
  6. Step 6: Final answer
    x = 1,699,036.02

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.