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Finding the Third Proportional to 368,416 and 807,072

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Solution

The third proportional to 368,416 and 807,072 is: 1,768,015.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,416 : 807,072 = 807,072 : x
  2. Step 2: Convert to fraction form
    368,416/807,072 = 807,072/x
  3. Step 3: Cross multiply
    368,416x = 807,072 × 807,072
  4. Step 4: Simplify right side
    368,416x = 651,365,213,184
  5. Step 5: Solve for x
    x = 651,365,213,184/368,416
  6. Step 6: Final answer
    x = 1,768,015.54

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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.