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Finding the Third Proportional to 286,581.16 and 607,300.03

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Solution

The third proportional to 286,581.16 and 607,300.03 is: 1,286,941.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,581.16 : 607,300.03 = 607,300.03 : x
  2. Step 2: Convert to fraction form
    286,581.16/607,300.03 = 607,300.03/x
  3. Step 3: Cross multiply
    286,581.16x = 607,300.03 × 607,300.03
  4. Step 4: Simplify right side
    286,581.16x = 368,813,327,956.25
  5. Step 5: Solve for x
    x = 368,813,327,956.25/286,581.16
  6. Step 6: Final answer
    x = 1,286,941.97

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.