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Finding the Third Proportional to 601,032 and 933,623.81

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Solution

The third proportional to 601,032 and 933,623.81 is: 1,450,261.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,032 : 933,623.81 = 933,623.81 : x
  2. Step 2: Convert to fraction form
    601,032/933,623.81 = 933,623.81/x
  3. Step 3: Cross multiply
    601,032x = 933,623.81 × 933,623.81
  4. Step 4: Simplify right side
    601,032x = 871,653,423,267.04
  5. Step 5: Solve for x
    x = 871,653,423,267.04/601,032
  6. Step 6: Final answer
    x = 1,450,261.26

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