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Finding the Third Proportional to 566,106.75 and 856,521

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Solution

The third proportional to 566,106.75 and 856,521 is: 1,295,918.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,106.75 : 856,521 = 856,521 : x
  2. Step 2: Convert to fraction form
    566,106.75/856,521 = 856,521/x
  3. Step 3: Cross multiply
    566,106.75x = 856,521 × 856,521
  4. Step 4: Simplify right side
    566,106.75x = 733,628,223,441
  5. Step 5: Solve for x
    x = 733,628,223,441/566,106.75
  6. Step 6: Final answer
    x = 1,295,918.52

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.