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Finding the Third Proportional to 342,642 and 504,030.50

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Solution

The third proportional to 342,642 and 504,030.50 is: 741,434.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,642 : 504,030.50 = 504,030.50 : x
  2. Step 2: Convert to fraction form
    342,642/504,030.50 = 504,030.50/x
  3. Step 3: Cross multiply
    342,642x = 504,030.50 × 504,030.50
  4. Step 4: Simplify right side
    342,642x = 254,046,744,930.25
  5. Step 5: Solve for x
    x = 254,046,744,930.25/342,642
  6. Step 6: Final answer
    x = 741,434.92

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.