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Finding the Third Proportional to 298,368 and 644,391

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Solution

The third proportional to 298,368 and 644,391 is: 1,391,703.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,368 : 644,391 = 644,391 : x
  2. Step 2: Convert to fraction form
    298,368/644,391 = 644,391/x
  3. Step 3: Cross multiply
    298,368x = 644,391 × 644,391
  4. Step 4: Simplify right side
    298,368x = 415,239,760,881
  5. Step 5: Solve for x
    x = 415,239,760,881/298,368
  6. Step 6: Final answer
    x = 1,391,703.40

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.