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Finding the Third Proportional to 262,567.25 and 562,495.75

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Solution

The third proportional to 262,567.25 and 562,495.75 is: 1,205,030.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,567.25 : 562,495.75 = 562,495.75 : x
  2. Step 2: Convert to fraction form
    262,567.25/562,495.75 = 562,495.75/x
  3. Step 3: Cross multiply
    262,567.25x = 562,495.75 × 562,495.75
  4. Step 4: Simplify right side
    262,567.25x = 316,401,468,768.06
  5. Step 5: Solve for x
    x = 316,401,468,768.06/262,567.25
  6. Step 6: Final answer
    x = 1,205,030.21

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.