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Finding the Third Proportional to 360,284,220 and 730,593,772

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Solution

The third proportional to 360,284,220 and 730,593,772 is: 1,481,517,174.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,284,220 : 730,593,772 = 730,593,772 : x
  2. Step 2: Convert to fraction form
    360,284,220/730,593,772 = 730,593,772/x
  3. Step 3: Cross multiply
    360,284,220x = 730,593,772 × 730,593,772
  4. Step 4: Simplify right side
    360,284,220x = 533,767,259,685,187,968
  5. Step 5: Solve for x
    x = 533,767,259,685,187,968/360,284,220
  6. Step 6: Final answer
    x = 1,481,517,174.65

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.