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Finding the Third Proportional to 360,948 and 785,593

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Solution

The third proportional to 360,948 and 785,593 is: 1,709,820.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,948 : 785,593 = 785,593 : x
  2. Step 2: Convert to fraction form
    360,948/785,593 = 785,593/x
  3. Step 3: Cross multiply
    360,948x = 785,593 × 785,593
  4. Step 4: Simplify right side
    360,948x = 617,156,361,649
  5. Step 5: Solve for x
    x = 617,156,361,649/360,948
  6. Step 6: Final answer
    x = 1,709,820.70

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.