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Finding the Third Proportional to 515,128 and 788,002

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Solution

The third proportional to 515,128 and 788,002 is: 1,205,423.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,128 : 788,002 = 788,002 : x
  2. Step 2: Convert to fraction form
    515,128/788,002 = 788,002/x
  3. Step 3: Cross multiply
    515,128x = 788,002 × 788,002
  4. Step 4: Simplify right side
    515,128x = 620,947,152,004
  5. Step 5: Solve for x
    x = 620,947,152,004/515,128
  6. Step 6: Final answer
    x = 1,205,423.02

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.