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Finding the Third Proportional to 590,754 and 916,506.75

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Solution

The third proportional to 590,754 and 916,506.75 is: 1,421,885.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,754 : 916,506.75 = 916,506.75 : x
  2. Step 2: Convert to fraction form
    590,754/916,506.75 = 916,506.75/x
  3. Step 3: Cross multiply
    590,754x = 916,506.75 × 916,506.75
  4. Step 4: Simplify right side
    590,754x = 839,984,622,795.56
  5. Step 5: Solve for x
    x = 839,984,622,795.56/590,754
  6. Step 6: Final answer
    x = 1,421,885.63

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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.