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Finding the Third Proportional to 510,056.88 and 787,029.88

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Solution

The third proportional to 510,056.88 and 787,029.88 is: 1,214,405.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,056.88 : 787,029.88 = 787,029.88 : x
  2. Step 2: Convert to fraction form
    510,056.88/787,029.88 = 787,029.88/x
  3. Step 3: Cross multiply
    510,056.88x = 787,029.88 × 787,029.88
  4. Step 4: Simplify right side
    510,056.88x = 619,416,024,142.52
  5. Step 5: Solve for x
    x = 619,416,024,142.52/510,056.88
  6. Step 6: Final answer
    x = 1,214,405.79

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.