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Finding the Third Proportional to 601,264 and 882,175.50

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Solution

The third proportional to 601,264 and 882,175.50 is: 1,294,329.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,264 : 882,175.50 = 882,175.50 : x
  2. Step 2: Convert to fraction form
    601,264/882,175.50 = 882,175.50/x
  3. Step 3: Cross multiply
    601,264x = 882,175.50 × 882,175.50
  4. Step 4: Simplify right side
    601,264x = 778,233,612,800.25
  5. Step 5: Solve for x
    x = 778,233,612,800.25/601,264
  6. Step 6: Final answer
    x = 1,294,329.30

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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.