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Finding the Third Proportional to 298,401.47 and 610,590.66

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Solution

The third proportional to 298,401.47 and 610,590.66 is: 1,249,393.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,401.47 : 610,590.66 = 610,590.66 : x
  2. Step 2: Convert to fraction form
    298,401.47/610,590.66 = 610,590.66/x
  3. Step 3: Cross multiply
    298,401.47x = 610,590.66 × 610,590.66
  4. Step 4: Simplify right side
    298,401.47x = 372,820,949,499.81
  5. Step 5: Solve for x
    x = 372,820,949,499.81/298,401.47
  6. Step 6: Final answer
    x = 1,249,393.82

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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.