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Finding the Third Proportional to 464,179 and 626,283

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Solution

The third proportional to 464,179 and 626,283 is: 844,998.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,179 : 626,283 = 626,283 : x
  2. Step 2: Convert to fraction form
    464,179/626,283 = 626,283/x
  3. Step 3: Cross multiply
    464,179x = 626,283 × 626,283
  4. Step 4: Simplify right side
    464,179x = 392,230,396,089
  5. Step 5: Solve for x
    x = 392,230,396,089/464,179
  6. Step 6: Final answer
    x = 844,998.15

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Why These Related Problems?

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