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Finding the Third Proportional to 575,954 and 775,347

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Solution

The third proportional to 575,954 and 775,347 is: 1,043,769.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    575,954 : 775,347 = 775,347 : x
  2. Step 2: Convert to fraction form
    575,954/775,347 = 775,347/x
  3. Step 3: Cross multiply
    575,954x = 775,347 × 775,347
  4. Step 4: Simplify right side
    575,954x = 601,162,970,409
  5. Step 5: Solve for x
    x = 601,162,970,409/575,954
  6. Step 6: Final answer
    x = 1,043,769.07

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.