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Finding the Third Proportional to 307,836,508.50 and 477,061,831.25

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Solution

The third proportional to 307,836,508.50 and 477,061,831.25 is: 739,314,488.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,836,508.50 : 477,061,831.25 = 477,061,831.25 : x
  2. Step 2: Convert to fraction form
    307,836,508.50/477,061,831.25 = 477,061,831.25/x
  3. Step 3: Cross multiply
    307,836,508.50x = 477,061,831.25 × 477,061,831.25
  4. Step 4: Simplify right side
    307,836,508.50x = 227,587,990,835,603,488
  5. Step 5: Solve for x
    x = 227,587,990,835,603,488/307,836,508.50
  6. Step 6: Final answer
    x = 739,314,488.54

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.