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Finding the Third Proportional to 369,984 and 585,311

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Solution

The third proportional to 369,984 and 585,311 is: 925,956.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,984 : 585,311 = 585,311 : x
  2. Step 2: Convert to fraction form
    369,984/585,311 = 585,311/x
  3. Step 3: Cross multiply
    369,984x = 585,311 × 585,311
  4. Step 4: Simplify right side
    369,984x = 342,588,966,721
  5. Step 5: Solve for x
    x = 342,588,966,721/369,984
  6. Step 6: Final answer
    x = 925,956.17

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.