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Finding the Third Proportional to 543,600 and 783,000

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Solution

The third proportional to 543,600 and 783,000 is: 1,127,831.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,600 : 783,000 = 783,000 : x
  2. Step 2: Convert to fraction form
    543,600/783,000 = 783,000/x
  3. Step 3: Cross multiply
    543,600x = 783,000 × 783,000
  4. Step 4: Simplify right side
    543,600x = 613,089,000,000
  5. Step 5: Solve for x
    x = 613,089,000,000/543,600
  6. Step 6: Final answer
    x = 1,127,831.13

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.