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Finding the Third Proportional to 410,534 and 653,745

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Solution

The third proportional to 410,534 and 653,745 is: 1,041,040.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,534 : 653,745 = 653,745 : x
  2. Step 2: Convert to fraction form
    410,534/653,745 = 653,745/x
  3. Step 3: Cross multiply
    410,534x = 653,745 × 653,745
  4. Step 4: Simplify right side
    410,534x = 427,382,525,025
  5. Step 5: Solve for x
    x = 427,382,525,025/410,534
  6. Step 6: Final answer
    x = 1,041,040.51

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.