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Finding the Third Proportional to 738,240.75 and 1,055,683.13

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Solution

The third proportional to 738,240.75 and 1,055,683.13 is: 1,509,625.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    738,240.75 : 1,055,683.13 = 1,055,683.13 : x
  2. Step 2: Convert to fraction form
    738,240.75/1,055,683.13 = 1,055,683.13/x
  3. Step 3: Cross multiply
    738,240.75x = 1,055,683.13 × 1,055,683.13
  4. Step 4: Simplify right side
    738,240.75x = 1,114,466,860,409.77
  5. Step 5: Solve for x
    x = 1,114,466,860,409.77/738,240.75
  6. Step 6: Final answer
    x = 1,509,625.23

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.