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Finding the Third Proportional to 571,587.50 and 835,922

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Solution

The third proportional to 571,587.50 and 835,922 is: 1,222,499.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    571,587.50 : 835,922 = 835,922 : x
  2. Step 2: Convert to fraction form
    571,587.50/835,922 = 835,922/x
  3. Step 3: Cross multiply
    571,587.50x = 835,922 × 835,922
  4. Step 4: Simplify right side
    571,587.50x = 698,765,590,084
  5. Step 5: Solve for x
    x = 698,765,590,084/571,587.50
  6. Step 6: Final answer
    x = 1,222,499.77

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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.