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Finding the Third Proportional to 540,844 and 783,361

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Solution

The third proportional to 540,844 and 783,361 is: 1,134,623.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,844 : 783,361 = 783,361 : x
  2. Step 2: Convert to fraction form
    540,844/783,361 = 783,361/x
  3. Step 3: Cross multiply
    540,844x = 783,361 × 783,361
  4. Step 4: Simplify right side
    540,844x = 613,654,456,321
  5. Step 5: Solve for x
    x = 613,654,456,321/540,844
  6. Step 6: Final answer
    x = 1,134,623.77

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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.