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Finding the Third Proportional to 732,247.50 and 1,095,718.50

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Solution

The third proportional to 732,247.50 and 1,095,718.50 is: 1,639,608.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    732,247.50 : 1,095,718.50 = 1,095,718.50 : x
  2. Step 2: Convert to fraction form
    732,247.50/1,095,718.50 = 1,095,718.50/x
  3. Step 3: Cross multiply
    732,247.50x = 1,095,718.50 × 1,095,718.50
  4. Step 4: Simplify right side
    732,247.50x = 1,200,599,031,242.25
  5. Step 5: Solve for x
    x = 1,200,599,031,242.25/732,247.50
  6. Step 6: Final answer
    x = 1,639,608.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.