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Finding the Third Proportional to 360,658 and 783,524

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Solution

The third proportional to 360,658 and 783,524 is: 1,702,193.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,658 : 783,524 = 783,524 : x
  2. Step 2: Convert to fraction form
    360,658/783,524 = 783,524/x
  3. Step 3: Cross multiply
    360,658x = 783,524 × 783,524
  4. Step 4: Simplify right side
    360,658x = 613,909,858,576
  5. Step 5: Solve for x
    x = 613,909,858,576/360,658
  6. Step 6: Final answer
    x = 1,702,193.93

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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.