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Finding the Third Proportional to 499,556 and 749,350

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Solution

The third proportional to 499,556 and 749,350 is: 1,124,049.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,556 : 749,350 = 749,350 : x
  2. Step 2: Convert to fraction form
    499,556/749,350 = 749,350/x
  3. Step 3: Cross multiply
    499,556x = 749,350 × 749,350
  4. Step 4: Simplify right side
    499,556x = 561,525,422,500
  5. Step 5: Solve for x
    x = 561,525,422,500/499,556
  6. Step 6: Final answer
    x = 1,124,049.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.