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Finding the Third Proportional to 590,517 and 916,123.50

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Solution

The third proportional to 590,517 and 916,123.50 is: 1,421,266.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,517 : 916,123.50 = 916,123.50 : x
  2. Step 2: Convert to fraction form
    590,517/916,123.50 = 916,123.50/x
  3. Step 3: Cross multiply
    590,517x = 916,123.50 × 916,123.50
  4. Step 4: Simplify right side
    590,517x = 839,282,267,252.25
  5. Step 5: Solve for x
    x = 839,282,267,252.25/590,517
  6. Step 6: Final answer
    x = 1,421,266.90

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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.