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Finding the Third Proportional to 343,642.50 and 525,669.75

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Solution

The third proportional to 343,642.50 and 525,669.75 is: 804,116.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,642.50 : 525,669.75 = 525,669.75 : x
  2. Step 2: Convert to fraction form
    343,642.50/525,669.75 = 525,669.75/x
  3. Step 3: Cross multiply
    343,642.50x = 525,669.75 × 525,669.75
  4. Step 4: Simplify right side
    343,642.50x = 276,328,686,065.06
  5. Step 5: Solve for x
    x = 276,328,686,065.06/343,642.50
  6. Step 6: Final answer
    x = 804,116.74

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.