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Finding the Third Proportional to 489,844.50 and 742,148

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Solution

The third proportional to 489,844.50 and 742,148 is: 1,124,405.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,844.50 : 742,148 = 742,148 : x
  2. Step 2: Convert to fraction form
    489,844.50/742,148 = 742,148/x
  3. Step 3: Cross multiply
    489,844.50x = 742,148 × 742,148
  4. Step 4: Simplify right side
    489,844.50x = 550,783,653,904
  5. Step 5: Solve for x
    x = 550,783,653,904/489,844.50
  6. Step 6: Final answer
    x = 1,124,405.10

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.