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Finding the Third Proportional to 515,724.50 and 788,410

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Solution

The third proportional to 515,724.50 and 788,410 is: 1,205,275.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,724.50 : 788,410 = 788,410 : x
  2. Step 2: Convert to fraction form
    515,724.50/788,410 = 788,410/x
  3. Step 3: Cross multiply
    515,724.50x = 788,410 × 788,410
  4. Step 4: Simplify right side
    515,724.50x = 621,590,328,100
  5. Step 5: Solve for x
    x = 621,590,328,100/515,724.50
  6. Step 6: Final answer
    x = 1,205,275.93

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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.