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Finding the Third Proportional to 519,475.50 and 797,935.50

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Solution

The third proportional to 519,475.50 and 797,935.50 is: 1,225,661.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,475.50 : 797,935.50 = 797,935.50 : x
  2. Step 2: Convert to fraction form
    519,475.50/797,935.50 = 797,935.50/x
  3. Step 3: Cross multiply
    519,475.50x = 797,935.50 × 797,935.50
  4. Step 4: Simplify right side
    519,475.50x = 636,701,062,160.25
  5. Step 5: Solve for x
    x = 636,701,062,160.25/519,475.50
  6. Step 6: Final answer
    x = 1,225,661.39

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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.