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Finding the Third Proportional to 366,521 and 807,597.50

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Solution

The third proportional to 366,521 and 807,597.50 is: 1,779,471.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,521 : 807,597.50 = 807,597.50 : x
  2. Step 2: Convert to fraction form
    366,521/807,597.50 = 807,597.50/x
  3. Step 3: Cross multiply
    366,521x = 807,597.50 × 807,597.50
  4. Step 4: Simplify right side
    366,521x = 652,213,722,006.25
  5. Step 5: Solve for x
    x = 652,213,722,006.25/366,521
  6. Step 6: Final answer
    x = 1,779,471.63

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.