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Finding the Third Proportional to 232,958 and 499,140

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Solution

The third proportional to 232,958 and 499,140 is: 1,069,466.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,958 : 499,140 = 499,140 : x
  2. Step 2: Convert to fraction form
    232,958/499,140 = 499,140/x
  3. Step 3: Cross multiply
    232,958x = 499,140 × 499,140
  4. Step 4: Simplify right side
    232,958x = 249,140,739,600
  5. Step 5: Solve for x
    x = 249,140,739,600/232,958
  6. Step 6: Final answer
    x = 1,069,466.34

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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.