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Finding the Third Proportional to 291,854 and 626,232

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Solution

The third proportional to 291,854 and 626,232 is: 1,343,707.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,854 : 626,232 = 626,232 : x
  2. Step 2: Convert to fraction form
    291,854/626,232 = 626,232/x
  3. Step 3: Cross multiply
    291,854x = 626,232 × 626,232
  4. Step 4: Simplify right side
    291,854x = 392,166,517,824
  5. Step 5: Solve for x
    x = 392,166,517,824/291,854
  6. Step 6: Final answer
    x = 1,343,707.87

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.