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Finding the Third Proportional to 575,387 and 851,929

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Solution

The third proportional to 575,387 and 851,929 is: 1,261,382.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    575,387 : 851,929 = 851,929 : x
  2. Step 2: Convert to fraction form
    575,387/851,929 = 851,929/x
  3. Step 3: Cross multiply
    575,387x = 851,929 × 851,929
  4. Step 4: Simplify right side
    575,387x = 725,783,021,041
  5. Step 5: Solve for x
    x = 725,783,021,041/575,387
  6. Step 6: Final answer
    x = 1,261,382.38

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.