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Finding the Third Proportional to 486,356 and 776,964

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Solution

The third proportional to 486,356 and 776,964 is: 1,241,216.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,356 : 776,964 = 776,964 : x
  2. Step 2: Convert to fraction form
    486,356/776,964 = 776,964/x
  3. Step 3: Cross multiply
    486,356x = 776,964 × 776,964
  4. Step 4: Simplify right side
    486,356x = 603,673,057,296
  5. Step 5: Solve for x
    x = 603,673,057,296/486,356
  6. Step 6: Final answer
    x = 1,241,216.43

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.