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Finding the Third Proportional to 444,770 and 655,391

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Solution

The third proportional to 444,770 and 655,391 is: 965,751.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,770 : 655,391 = 655,391 : x
  2. Step 2: Convert to fraction form
    444,770/655,391 = 655,391/x
  3. Step 3: Cross multiply
    444,770x = 655,391 × 655,391
  4. Step 4: Simplify right side
    444,770x = 429,537,362,881
  5. Step 5: Solve for x
    x = 429,537,362,881/444,770
  6. Step 6: Final answer
    x = 965,751.65

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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.