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Finding the Third Proportional to 497,127.50 and 777,679

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Solution

The third proportional to 497,127.50 and 777,679 is: 1,216,558.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,127.50 : 777,679 = 777,679 : x
  2. Step 2: Convert to fraction form
    497,127.50/777,679 = 777,679/x
  3. Step 3: Cross multiply
    497,127.50x = 777,679 × 777,679
  4. Step 4: Simplify right side
    497,127.50x = 604,784,627,041
  5. Step 5: Solve for x
    x = 604,784,627,041/497,127.50
  6. Step 6: Final answer
    x = 1,216,558.38

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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.