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Finding the Third Proportional to 504,401 and 749,455.75

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Solution

The third proportional to 504,401 and 749,455.75 is: 1,113,566.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,401 : 749,455.75 = 749,455.75 : x
  2. Step 2: Convert to fraction form
    504,401/749,455.75 = 749,455.75/x
  3. Step 3: Cross multiply
    504,401x = 749,455.75 × 749,455.75
  4. Step 4: Simplify right side
    504,401x = 561,683,921,208.06
  5. Step 5: Solve for x
    x = 561,683,921,208.06/504,401
  6. Step 6: Final answer
    x = 1,113,566.23

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.