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Finding the Third Proportional to 286,488 and 607,125.75

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Solution

The third proportional to 286,488 and 607,125.75 is: 1,286,621.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,488 : 607,125.75 = 607,125.75 : x
  2. Step 2: Convert to fraction form
    286,488/607,125.75 = 607,125.75/x
  3. Step 3: Cross multiply
    286,488x = 607,125.75 × 607,125.75
  4. Step 4: Simplify right side
    286,488x = 368,601,676,313.06
  5. Step 5: Solve for x
    x = 368,601,676,313.06/286,488
  6. Step 6: Final answer
    x = 1,286,621.70

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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.