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Finding the Third Proportional to 590,958 and 865,475.25

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Solution

The third proportional to 590,958 and 865,475.25 is: 1,267,513.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,958 : 865,475.25 = 865,475.25 : x
  2. Step 2: Convert to fraction form
    590,958/865,475.25 = 865,475.25/x
  3. Step 3: Cross multiply
    590,958x = 865,475.25 × 865,475.25
  4. Step 4: Simplify right side
    590,958x = 749,047,408,362.56
  5. Step 5: Solve for x
    x = 749,047,408,362.56/590,958
  6. Step 6: Final answer
    x = 1,267,513.78

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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.