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Finding the Third Proportional to 464,999 and 658,155

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Solution

The third proportional to 464,999 and 658,155 is: 931,546.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,999 : 658,155 = 658,155 : x
  2. Step 2: Convert to fraction form
    464,999/658,155 = 658,155/x
  3. Step 3: Cross multiply
    464,999x = 658,155 × 658,155
  4. Step 4: Simplify right side
    464,999x = 433,168,004,025
  5. Step 5: Solve for x
    x = 433,168,004,025/464,999
  6. Step 6: Final answer
    x = 931,546.10

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.