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Finding the Third Proportional to 410,526.56 and 653,733.28

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Solution

The third proportional to 410,526.56 and 653,733.28 is: 1,041,022.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,526.56 : 653,733.28 = 653,733.28 : x
  2. Step 2: Convert to fraction form
    410,526.56/653,733.28 = 653,733.28/x
  3. Step 3: Cross multiply
    410,526.56x = 653,733.28 × 653,733.28
  4. Step 4: Simplify right side
    410,526.56x = 427,367,203,013.89
  5. Step 5: Solve for x
    x = 427,367,203,013.89/410,526.56
  6. Step 6: Final answer
    x = 1,041,022.05

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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.