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Finding the Third Proportional to 207,328.50 and 435,541.50

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Solution

The third proportional to 207,328.50 and 435,541.50 is: 914,955.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,328.50 : 435,541.50 = 435,541.50 : x
  2. Step 2: Convert to fraction form
    207,328.50/435,541.50 = 435,541.50/x
  3. Step 3: Cross multiply
    207,328.50x = 435,541.50 × 435,541.50
  4. Step 4: Simplify right side
    207,328.50x = 189,696,398,222.25
  5. Step 5: Solve for x
    x = 189,696,398,222.25/207,328.50
  6. Step 6: Final answer
    x = 914,955.73

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.