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Finding the Third Proportional to 497,184 and 777,756

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Solution

The third proportional to 497,184 and 777,756 is: 1,216,661.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,184 : 777,756 = 777,756 : x
  2. Step 2: Convert to fraction form
    497,184/777,756 = 777,756/x
  3. Step 3: Cross multiply
    497,184x = 777,756 × 777,756
  4. Step 4: Simplify right side
    497,184x = 604,904,395,536
  5. Step 5: Solve for x
    x = 604,904,395,536/497,184
  6. Step 6: Final answer
    x = 1,216,661.03

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.