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Finding the Third Proportional to 525,035 and 792,363

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Solution

The third proportional to 525,035 and 792,363 is: 1,195,804.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,035 : 792,363 = 792,363 : x
  2. Step 2: Convert to fraction form
    525,035/792,363 = 792,363/x
  3. Step 3: Cross multiply
    525,035x = 792,363 × 792,363
  4. Step 4: Simplify right side
    525,035x = 627,839,123,769
  5. Step 5: Solve for x
    x = 627,839,123,769/525,035
  6. Step 6: Final answer
    x = 1,195,804.32

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.