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Finding the Third Proportional to 537,492 and 776,970

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Solution

The third proportional to 537,492 and 776,970 is: 1,123,146.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,492 : 776,970 = 776,970 : x
  2. Step 2: Convert to fraction form
    537,492/776,970 = 776,970/x
  3. Step 3: Cross multiply
    537,492x = 776,970 × 776,970
  4. Step 4: Simplify right side
    537,492x = 603,682,380,900
  5. Step 5: Solve for x
    x = 603,682,380,900/537,492
  6. Step 6: Final answer
    x = 1,123,146.73

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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.