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Finding the Third Proportional to 566,730 and 863,625

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Solution

The third proportional to 566,730 and 863,625 is: 1,316,055.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,730 : 863,625 = 863,625 : x
  2. Step 2: Convert to fraction form
    566,730/863,625 = 863,625/x
  3. Step 3: Cross multiply
    566,730x = 863,625 × 863,625
  4. Step 4: Simplify right side
    566,730x = 745,848,140,625
  5. Step 5: Solve for x
    x = 745,848,140,625/566,730
  6. Step 6: Final answer
    x = 1,316,055.51

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.