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Finding the Third Proportional to 370,714.50 and 809,388

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Solution

The third proportional to 370,714.50 and 809,388 is: 1,767,152.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,714.50 : 809,388 = 809,388 : x
  2. Step 2: Convert to fraction form
    370,714.50/809,388 = 809,388/x
  3. Step 3: Cross multiply
    370,714.50x = 809,388 × 809,388
  4. Step 4: Simplify right side
    370,714.50x = 655,108,934,544
  5. Step 5: Solve for x
    x = 655,108,934,544/370,714.50
  6. Step 6: Final answer
    x = 1,767,152.17

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.