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Finding the Third Proportional to 284,894 and 607,919

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Solution

The third proportional to 284,894 and 607,919 is: 1,297,203.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,894 : 607,919 = 607,919 : x
  2. Step 2: Convert to fraction form
    284,894/607,919 = 607,919/x
  3. Step 3: Cross multiply
    284,894x = 607,919 × 607,919
  4. Step 4: Simplify right side
    284,894x = 369,565,510,561
  5. Step 5: Solve for x
    x = 369,565,510,561/284,894
  6. Step 6: Final answer
    x = 1,297,203.56

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.