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Finding the Third Proportional to 519,784 and 777,562

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Solution

The third proportional to 519,784 and 777,562 is: 1,163,180.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,784 : 777,562 = 777,562 : x
  2. Step 2: Convert to fraction form
    519,784/777,562 = 777,562/x
  3. Step 3: Cross multiply
    519,784x = 777,562 × 777,562
  4. Step 4: Simplify right side
    519,784x = 604,602,663,844
  5. Step 5: Solve for x
    x = 604,602,663,844/519,784
  6. Step 6: Final answer
    x = 1,163,180.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.