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Finding the Third Proportional to 368,468 and 793,312

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Solution

The third proportional to 368,468 and 793,312 is: 1,708,001.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,468 : 793,312 = 793,312 : x
  2. Step 2: Convert to fraction form
    368,468/793,312 = 793,312/x
  3. Step 3: Cross multiply
    368,468x = 793,312 × 793,312
  4. Step 4: Simplify right side
    368,468x = 629,343,929,344
  5. Step 5: Solve for x
    x = 629,343,929,344/368,468
  6. Step 6: Final answer
    x = 1,708,001.59

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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.