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Finding the Third Proportional to 371,655 and 795,780

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Solution

The third proportional to 371,655 and 795,780 is: 1,703,907.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,655 : 795,780 = 795,780 : x
  2. Step 2: Convert to fraction form
    371,655/795,780 = 795,780/x
  3. Step 3: Cross multiply
    371,655x = 795,780 × 795,780
  4. Step 4: Simplify right side
    371,655x = 633,265,808,400
  5. Step 5: Solve for x
    x = 633,265,808,400/371,655
  6. Step 6: Final answer
    x = 1,703,907.68

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.