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Finding the Third Proportional to 264,712 and 399,536.50

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Solution

The third proportional to 264,712 and 399,536.50 is: 603,030.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,712 : 399,536.50 = 399,536.50 : x
  2. Step 2: Convert to fraction form
    264,712/399,536.50 = 399,536.50/x
  3. Step 3: Cross multiply
    264,712x = 399,536.50 × 399,536.50
  4. Step 4: Simplify right side
    264,712x = 159,629,414,832.25
  5. Step 5: Solve for x
    x = 159,629,414,832.25/264,712
  6. Step 6: Final answer
    x = 603,030.52

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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.