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Finding the Third Proportional to 368,418 and 807,076

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Solution

The third proportional to 368,418 and 807,076 is: 1,768,023.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,418 : 807,076 = 807,076 : x
  2. Step 2: Convert to fraction form
    368,418/807,076 = 807,076/x
  3. Step 3: Cross multiply
    368,418x = 807,076 × 807,076
  4. Step 4: Simplify right side
    368,418x = 651,371,669,776
  5. Step 5: Solve for x
    x = 651,371,669,776/368,418
  6. Step 6: Final answer
    x = 1,768,023.47

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.