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Finding the Third Proportional to 235,818 and 485,460

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Solution

The third proportional to 235,818 and 485,460 is: 999,378.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,818 : 485,460 = 485,460 : x
  2. Step 2: Convert to fraction form
    235,818/485,460 = 485,460/x
  3. Step 3: Cross multiply
    235,818x = 485,460 × 485,460
  4. Step 4: Simplify right side
    235,818x = 235,671,411,600
  5. Step 5: Solve for x
    x = 235,671,411,600/235,818
  6. Step 6: Final answer
    x = 999,378.38

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.