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Finding the Third Proportional to 664,728 and 968,026.50

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Solution

The third proportional to 664,728 and 968,026.50 is: 1,409,712.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,728 : 968,026.50 = 968,026.50 : x
  2. Step 2: Convert to fraction form
    664,728/968,026.50 = 968,026.50/x
  3. Step 3: Cross multiply
    664,728x = 968,026.50 × 968,026.50
  4. Step 4: Simplify right side
    664,728x = 937,075,304,702.25
  5. Step 5: Solve for x
    x = 937,075,304,702.25/664,728
  6. Step 6: Final answer
    x = 1,409,712.40

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.