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Finding the Third Proportional to 519,345 and 776,942

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Solution

The third proportional to 519,345 and 776,942 is: 1,162,308.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,345 : 776,942 = 776,942 : x
  2. Step 2: Convert to fraction form
    519,345/776,942 = 776,942/x
  3. Step 3: Cross multiply
    519,345x = 776,942 × 776,942
  4. Step 4: Simplify right side
    519,345x = 603,638,871,364
  5. Step 5: Solve for x
    x = 603,638,871,364/519,345
  6. Step 6: Final answer
    x = 1,162,308.04

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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.