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Finding the Third Proportional to 504,403.88 and 749,462.63

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Solution

The third proportional to 504,403.88 and 749,462.63 is: 1,113,580.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,403.88 : 749,462.63 = 749,462.63 : x
  2. Step 2: Convert to fraction form
    504,403.88/749,462.63 = 749,462.63/x
  3. Step 3: Cross multiply
    504,403.88x = 749,462.63 × 749,462.63
  4. Step 4: Simplify right side
    504,403.88x = 561,694,226,271.89
  5. Step 5: Solve for x
    x = 561,694,226,271.89/504,403.88
  6. Step 6: Final answer
    x = 1,113,580.32

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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.