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Finding the Third Proportional to 575,406 and 851,958

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Solution

The third proportional to 575,406 and 851,958 is: 1,261,426.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    575,406 : 851,958 = 851,958 : x
  2. Step 2: Convert to fraction form
    575,406/851,958 = 851,958/x
  3. Step 3: Cross multiply
    575,406x = 851,958 × 851,958
  4. Step 4: Simplify right side
    575,406x = 725,832,433,764
  5. Step 5: Solve for x
    x = 725,832,433,764/575,406
  6. Step 6: Final answer
    x = 1,261,426.60

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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.