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Finding the Third Proportional to 467,982 and 684,423

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Solution

The third proportional to 467,982 and 684,423 is: 1,000,967.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,982 : 684,423 = 684,423 : x
  2. Step 2: Convert to fraction form
    467,982/684,423 = 684,423/x
  3. Step 3: Cross multiply
    467,982x = 684,423 × 684,423
  4. Step 4: Simplify right side
    467,982x = 468,434,842,929
  5. Step 5: Solve for x
    x = 468,434,842,929/467,982
  6. Step 6: Final answer
    x = 1,000,967.65

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.