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Finding the Third Proportional to 302,972,486.50 and 654,372,416

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Solution

The third proportional to 302,972,486.50 and 654,372,416 is: 1,413,340,411.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,972,486.50 : 654,372,416 = 654,372,416 : x
  2. Step 2: Convert to fraction form
    302,972,486.50/654,372,416 = 654,372,416/x
  3. Step 3: Cross multiply
    302,972,486.50x = 654,372,416 × 654,372,416
  4. Step 4: Simplify right side
    302,972,486.50x = 428,203,258,821,677,056
  5. Step 5: Solve for x
    x = 428,203,258,821,677,056/302,972,486.50
  6. Step 6: Final answer
    x = 1,413,340,411.76

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.