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Finding the Third Proportional to 519,807.38 and 798,498

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Solution

The third proportional to 519,807.38 and 798,498 is: 1,226,606.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,807.38 : 798,498 = 798,498 : x
  2. Step 2: Convert to fraction form
    519,807.38/798,498 = 798,498/x
  3. Step 3: Cross multiply
    519,807.38x = 798,498 × 798,498
  4. Step 4: Simplify right side
    519,807.38x = 637,599,056,004
  5. Step 5: Solve for x
    x = 637,599,056,004/519,807.38
  6. Step 6: Final answer
    x = 1,226,606.41

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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.