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Finding the Third Proportional to 298,403.50 and 610,594.50

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Solution

The third proportional to 298,403.50 and 610,594.50 is: 1,249,401.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,403.50 : 610,594.50 = 610,594.50 : x
  2. Step 2: Convert to fraction form
    298,403.50/610,594.50 = 610,594.50/x
  3. Step 3: Cross multiply
    298,403.50x = 610,594.50 × 610,594.50
  4. Step 4: Simplify right side
    298,403.50x = 372,825,643,430.25
  5. Step 5: Solve for x
    x = 372,825,643,430.25/298,403.50
  6. Step 6: Final answer
    x = 1,249,401.04

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.