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Finding the Third Proportional to 540,756 and 783,252

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Solution

The third proportional to 540,756 and 783,252 is: 1,134,492.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,756 : 783,252 = 783,252 : x
  2. Step 2: Convert to fraction form
    540,756/783,252 = 783,252/x
  3. Step 3: Cross multiply
    540,756x = 783,252 × 783,252
  4. Step 4: Simplify right side
    540,756x = 613,483,695,504
  5. Step 5: Solve for x
    x = 613,483,695,504/540,756
  6. Step 6: Final answer
    x = 1,134,492.63

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.