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Finding the Third Proportional to 579,076 and 835,396

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Solution

The third proportional to 579,076 and 835,396 is: 1,205,172.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    579,076 : 835,396 = 835,396 : x
  2. Step 2: Convert to fraction form
    579,076/835,396 = 835,396/x
  3. Step 3: Cross multiply
    579,076x = 835,396 × 835,396
  4. Step 4: Simplify right side
    579,076x = 697,886,476,816
  5. Step 5: Solve for x
    x = 697,886,476,816/579,076
  6. Step 6: Final answer
    x = 1,205,172.51

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.