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Finding the Third Proportional to 452,130 and 684,015

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Solution

The third proportional to 452,130 and 684,015 is: 1,034,827.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,130 : 684,015 = 684,015 : x
  2. Step 2: Convert to fraction form
    452,130/684,015 = 684,015/x
  3. Step 3: Cross multiply
    452,130x = 684,015 × 684,015
  4. Step 4: Simplify right side
    452,130x = 467,876,520,225
  5. Step 5: Solve for x
    x = 467,876,520,225/452,130
  6. Step 6: Final answer
    x = 1,034,827.42

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.