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Finding the Third Proportional to 286,506 and 368,766

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Solution

The third proportional to 286,506 and 368,766 is: 474,644.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,506 : 368,766 = 368,766 : x
  2. Step 2: Convert to fraction form
    286,506/368,766 = 368,766/x
  3. Step 3: Cross multiply
    286,506x = 368,766 × 368,766
  4. Step 4: Simplify right side
    286,506x = 135,988,362,756
  5. Step 5: Solve for x
    x = 135,988,362,756/286,506
  6. Step 6: Final answer
    x = 474,644.03

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Why These Related Problems?

These problems maintain the same ratio (1.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.