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Finding the Third Proportional to 464,958 and 718,467

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Solution

The third proportional to 464,958 and 718,467 is: 1,110,196.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,958 : 718,467 = 718,467 : x
  2. Step 2: Convert to fraction form
    464,958/718,467 = 718,467/x
  3. Step 3: Cross multiply
    464,958x = 718,467 × 718,467
  4. Step 4: Simplify right side
    464,958x = 516,194,830,089
  5. Step 5: Solve for x
    x = 516,194,830,089/464,958
  6. Step 6: Final answer
    x = 1,110,196.68

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.