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Finding the Third Proportional to 361,740 and 785,730

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Solution

The third proportional to 361,740 and 785,730 is: 1,706,672.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,740 : 785,730 = 785,730 : x
  2. Step 2: Convert to fraction form
    361,740/785,730 = 785,730/x
  3. Step 3: Cross multiply
    361,740x = 785,730 × 785,730
  4. Step 4: Simplify right side
    361,740x = 617,371,632,900
  5. Step 5: Solve for x
    x = 617,371,632,900/361,740
  6. Step 6: Final answer
    x = 1,706,672.29

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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.