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Finding the Third Proportional to 566,364.56 and 857,772.75

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Solution

The third proportional to 566,364.56 and 857,772.75 is: 1,299,117.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,364.56 : 857,772.75 = 857,772.75 : x
  2. Step 2: Convert to fraction form
    566,364.56/857,772.75 = 857,772.75/x
  3. Step 3: Cross multiply
    566,364.56x = 857,772.75 × 857,772.75
  4. Step 4: Simplify right side
    566,364.56x = 735,774,090,642.56
  5. Step 5: Solve for x
    x = 735,774,090,642.56/566,364.56
  6. Step 6: Final answer
    x = 1,299,117.46

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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.