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Finding the Third Proportional to 571,324.64 and 835,956.07

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Solution

The third proportional to 571,324.64 and 835,956.07 is: 1,223,161.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    571,324.64 : 835,956.07 = 835,956.07 : x
  2. Step 2: Convert to fraction form
    571,324.64/835,956.07 = 835,956.07/x
  3. Step 3: Cross multiply
    571,324.64x = 835,956.07 × 835,956.07
  4. Step 4: Simplify right side
    571,324.64x = 698,822,551,492.32
  5. Step 5: Solve for x
    x = 698,822,551,492.32/571,324.64
  6. Step 6: Final answer
    x = 1,223,161.93

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.