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Finding the Third Proportional to 265,905 and 399,041.50

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Solution

The third proportional to 265,905 and 399,041.50 is: 598,838.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,905 : 399,041.50 = 399,041.50 : x
  2. Step 2: Convert to fraction form
    265,905/399,041.50 = 399,041.50/x
  3. Step 3: Cross multiply
    265,905x = 399,041.50 × 399,041.50
  4. Step 4: Simplify right side
    265,905x = 159,234,118,722.25
  5. Step 5: Solve for x
    x = 159,234,118,722.25/265,905
  6. Step 6: Final answer
    x = 598,838.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.