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Finding the Third Proportional to 602,817.75 and 842,828.63

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Solution

The third proportional to 602,817.75 and 842,828.63 is: 1,178,399.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,817.75 : 842,828.63 = 842,828.63 : x
  2. Step 2: Convert to fraction form
    602,817.75/842,828.63 = 842,828.63/x
  3. Step 3: Cross multiply
    602,817.75x = 842,828.63 × 842,828.63
  4. Step 4: Simplify right side
    602,817.75x = 710,360,091,119.39
  5. Step 5: Solve for x
    x = 710,360,091,119.39/602,817.75
  6. Step 6: Final answer
    x = 1,178,399.43

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.