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Finding the Third Proportional to 523,650 and 800,705

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Solution

The third proportional to 523,650 and 800,705 is: 1,224,345.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,650 : 800,705 = 800,705 : x
  2. Step 2: Convert to fraction form
    523,650/800,705 = 800,705/x
  3. Step 3: Cross multiply
    523,650x = 800,705 × 800,705
  4. Step 4: Simplify right side
    523,650x = 641,128,497,025
  5. Step 5: Solve for x
    x = 641,128,497,025/523,650
  6. Step 6: Final answer
    x = 1,224,345.45

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.