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Finding the Third Proportional to 611,394 and 898,299

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Solution

The third proportional to 611,394 and 898,299 is: 1,319,838.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,394 : 898,299 = 898,299 : x
  2. Step 2: Convert to fraction form
    611,394/898,299 = 898,299/x
  3. Step 3: Cross multiply
    611,394x = 898,299 × 898,299
  4. Step 4: Simplify right side
    611,394x = 806,941,093,401
  5. Step 5: Solve for x
    x = 806,941,093,401/611,394
  6. Step 6: Final answer
    x = 1,319,838.10

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.