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Finding the Third Proportional to 298,623 and 624,907.50

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Solution

The third proportional to 298,623 and 624,907.50 is: 1,307,700.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,623 : 624,907.50 = 624,907.50 : x
  2. Step 2: Convert to fraction form
    298,623/624,907.50 = 624,907.50/x
  3. Step 3: Cross multiply
    298,623x = 624,907.50 × 624,907.50
  4. Step 4: Simplify right side
    298,623x = 390,509,383,556.25
  5. Step 5: Solve for x
    x = 390,509,383,556.25/298,623
  6. Step 6: Final answer
    x = 1,307,700.29

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.