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Finding the Third Proportional to 579,043 and 835,346

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Solution

The third proportional to 579,043 and 835,346 is: 1,205,096.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    579,043 : 835,346 = 835,346 : x
  2. Step 2: Convert to fraction form
    579,043/835,346 = 835,346/x
  3. Step 3: Cross multiply
    579,043x = 835,346 × 835,346
  4. Step 4: Simplify right side
    579,043x = 697,802,939,716
  5. Step 5: Solve for x
    x = 697,802,939,716/579,043
  6. Step 6: Final answer
    x = 1,205,096.93

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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.