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Finding the Third Proportional to 287,984 and 594,369

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Solution

The third proportional to 287,984 and 594,369 is: 1,226,715.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,984 : 594,369 = 594,369 : x
  2. Step 2: Convert to fraction form
    287,984/594,369 = 594,369/x
  3. Step 3: Cross multiply
    287,984x = 594,369 × 594,369
  4. Step 4: Simplify right side
    287,984x = 353,274,508,161
  5. Step 5: Solve for x
    x = 353,274,508,161/287,984
  6. Step 6: Final answer
    x = 1,226,715.75

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.