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Finding the Third Proportional to 497,124 and 777,674.25

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Solution

The third proportional to 497,124 and 777,674.25 is: 1,216,552.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,124 : 777,674.25 = 777,674.25 : x
  2. Step 2: Convert to fraction form
    497,124/777,674.25 = 777,674.25/x
  3. Step 3: Cross multiply
    497,124x = 777,674.25 × 777,674.25
  4. Step 4: Simplify right side
    497,124x = 604,777,239,113.06
  5. Step 5: Solve for x
    x = 604,777,239,113.06/497,124
  6. Step 6: Final answer
    x = 1,216,552.09

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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.