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Finding the Third Proportional to 294,888 and 628,386

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Solution

The third proportional to 294,888 and 628,386 is: 1,339,047.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,888 : 628,386 = 628,386 : x
  2. Step 2: Convert to fraction form
    294,888/628,386 = 628,386/x
  3. Step 3: Cross multiply
    294,888x = 628,386 × 628,386
  4. Step 4: Simplify right side
    294,888x = 394,868,964,996
  5. Step 5: Solve for x
    x = 394,868,964,996/294,888
  6. Step 6: Final answer
    x = 1,339,047.25

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.