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Finding the Third Proportional to 361,762 and 785,780

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Solution

The third proportional to 361,762 and 785,780 is: 1,706,785.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,762 : 785,780 = 785,780 : x
  2. Step 2: Convert to fraction form
    361,762/785,780 = 785,780/x
  3. Step 3: Cross multiply
    361,762x = 785,780 × 785,780
  4. Step 4: Simplify right side
    361,762x = 617,450,208,400
  5. Step 5: Solve for x
    x = 617,450,208,400/361,762
  6. Step 6: Final answer
    x = 1,706,785.70

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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.