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Finding the Third Proportional to 286,356 and 592,530

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Solution

The third proportional to 286,356 and 592,530 is: 1,226,067.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,356 : 592,530 = 592,530 : x
  2. Step 2: Convert to fraction form
    286,356/592,530 = 592,530/x
  3. Step 3: Cross multiply
    286,356x = 592,530 × 592,530
  4. Step 4: Simplify right side
    286,356x = 351,091,800,900
  5. Step 5: Solve for x
    x = 351,091,800,900/286,356
  6. Step 6: Final answer
    x = 1,226,067.56

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.