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Finding the Third Proportional to 537,504 and 776,982

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Solution

The third proportional to 537,504 and 776,982 is: 1,123,156.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,504 : 776,982 = 776,982 : x
  2. Step 2: Convert to fraction form
    537,504/776,982 = 776,982/x
  3. Step 3: Cross multiply
    537,504x = 776,982 × 776,982
  4. Step 4: Simplify right side
    537,504x = 603,701,028,324
  5. Step 5: Solve for x
    x = 603,701,028,324/537,504
  6. Step 6: Final answer
    x = 1,123,156.35

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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.