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Finding the Third Proportional to 356,328 and 742,147.50

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Solution

The third proportional to 356,328 and 742,147.50 is: 1,545,718.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,328 : 742,147.50 = 742,147.50 : x
  2. Step 2: Convert to fraction form
    356,328/742,147.50 = 742,147.50/x
  3. Step 3: Cross multiply
    356,328x = 742,147.50 × 742,147.50
  4. Step 4: Simplify right side
    356,328x = 550,782,911,756.25
  5. Step 5: Solve for x
    x = 550,782,911,756.25/356,328
  6. Step 6: Final answer
    x = 1,545,718.87

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.