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Finding the Third Proportional to 376,970.06 and 764,875.13

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Solution

The third proportional to 376,970.06 and 764,875.13 is: 1,551,937.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,970.06 : 764,875.13 = 764,875.13 : x
  2. Step 2: Convert to fraction form
    376,970.06/764,875.13 = 764,875.13/x
  3. Step 3: Cross multiply
    376,970.06x = 764,875.13 × 764,875.13
  4. Step 4: Simplify right side
    376,970.06x = 585,033,956,843.77
  5. Step 5: Solve for x
    x = 585,033,956,843.77/376,970.06
  6. Step 6: Final answer
    x = 1,551,937.45

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.