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Finding the Third Proportional to 342,080 and 791,827

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Solution

The third proportional to 342,080 and 791,827 is: 1,832,875.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,080 : 791,827 = 791,827 : x
  2. Step 2: Convert to fraction form
    342,080/791,827 = 791,827/x
  3. Step 3: Cross multiply
    342,080x = 791,827 × 791,827
  4. Step 4: Simplify right side
    342,080x = 626,989,997,929
  5. Step 5: Solve for x
    x = 626,989,997,929/342,080
  6. Step 6: Final answer
    x = 1,832,875.34

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.