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Finding the Third Proportional to 467,970.75 and 684,406.13

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Solution

The third proportional to 467,970.75 and 684,406.13 is: 1,000,942.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,970.75 : 684,406.13 = 684,406.13 : x
  2. Step 2: Convert to fraction form
    467,970.75/684,406.13 = 684,406.13/x
  3. Step 3: Cross multiply
    467,970.75x = 684,406.13 × 684,406.13
  4. Step 4: Simplify right side
    467,970.75x = 468,411,743,937.52
  5. Step 5: Solve for x
    x = 468,411,743,937.52/467,970.75
  6. Step 6: Final answer
    x = 1,000,942.35

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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.