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Finding the Third Proportional to 286,280 and 621,889

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Solution

The third proportional to 286,280 and 621,889 is: 1,350,935.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,280 : 621,889 = 621,889 : x
  2. Step 2: Convert to fraction form
    286,280/621,889 = 621,889/x
  3. Step 3: Cross multiply
    286,280x = 621,889 × 621,889
  4. Step 4: Simplify right side
    286,280x = 386,745,928,321
  5. Step 5: Solve for x
    x = 386,745,928,321/286,280
  6. Step 6: Final answer
    x = 1,350,935.90

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.