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Finding the Third Proportional to 262,465.50 and 384,403.50

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Solution

The third proportional to 262,465.50 and 384,403.50 is: 562,992.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,465.50 : 384,403.50 = 384,403.50 : x
  2. Step 2: Convert to fraction form
    262,465.50/384,403.50 = 384,403.50/x
  3. Step 3: Cross multiply
    262,465.50x = 384,403.50 × 384,403.50
  4. Step 4: Simplify right side
    262,465.50x = 147,766,050,812.25
  5. Step 5: Solve for x
    x = 147,766,050,812.25/262,465.50
  6. Step 6: Final answer
    x = 562,992.28

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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.