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Finding the Third Proportional to 464,173 and 626,274

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Solution

The third proportional to 464,173 and 626,274 is: 844,984.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,173 : 626,274 = 626,274 : x
  2. Step 2: Convert to fraction form
    464,173/626,274 = 626,274/x
  3. Step 3: Cross multiply
    464,173x = 626,274 × 626,274
  4. Step 4: Simplify right side
    464,173x = 392,219,123,076
  5. Step 5: Solve for x
    x = 392,219,123,076/464,173
  6. Step 6: Final answer
    x = 844,984.79

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.