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Finding the Third Proportional to 310,898 and 669,362

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Solution

The third proportional to 310,898 and 669,362 is: 1,441,133.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,898 : 669,362 = 669,362 : x
  2. Step 2: Convert to fraction form
    310,898/669,362 = 669,362/x
  3. Step 3: Cross multiply
    310,898x = 669,362 × 669,362
  4. Step 4: Simplify right side
    310,898x = 448,045,487,044
  5. Step 5: Solve for x
    x = 448,045,487,044/310,898
  6. Step 6: Final answer
    x = 1,441,133.38

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.