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Finding the Third Proportional to 519,346 and 776,943

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Solution

The third proportional to 519,346 and 776,943 is: 1,162,308.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,346 : 776,943 = 776,943 : x
  2. Step 2: Convert to fraction form
    519,346/776,943 = 776,943/x
  3. Step 3: Cross multiply
    519,346x = 776,943 × 776,943
  4. Step 4: Simplify right side
    519,346x = 603,640,425,249
  5. Step 5: Solve for x
    x = 603,640,425,249/519,346
  6. Step 6: Final answer
    x = 1,162,308.80

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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.