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Finding the Third Proportional to 425,682 and 634,831.50

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Solution

The third proportional to 425,682 and 634,831.50 is: 946,742.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,682 : 634,831.50 = 634,831.50 : x
  2. Step 2: Convert to fraction form
    425,682/634,831.50 = 634,831.50/x
  3. Step 3: Cross multiply
    425,682x = 634,831.50 × 634,831.50
  4. Step 4: Simplify right side
    425,682x = 403,011,033,392.25
  5. Step 5: Solve for x
    x = 403,011,033,392.25/425,682
  6. Step 6: Final answer
    x = 946,742.01

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.