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Finding the Third Proportional to 540,829 and 783,359

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Solution

The third proportional to 540,829 and 783,359 is: 1,134,649.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,829 : 783,359 = 783,359 : x
  2. Step 2: Convert to fraction form
    540,829/783,359 = 783,359/x
  3. Step 3: Cross multiply
    540,829x = 783,359 × 783,359
  4. Step 4: Simplify right side
    540,829x = 613,651,322,881
  5. Step 5: Solve for x
    x = 613,651,322,881/540,829
  6. Step 6: Final answer
    x = 1,134,649.44

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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.