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Finding the Third Proportional to 590,529 and 916,143

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Solution

The third proportional to 590,529 and 916,143 is: 1,421,298.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,529 : 916,143 = 916,143 : x
  2. Step 2: Convert to fraction form
    590,529/916,143 = 916,143/x
  3. Step 3: Cross multiply
    590,529x = 916,143 × 916,143
  4. Step 4: Simplify right side
    590,529x = 839,317,996,449
  5. Step 5: Solve for x
    x = 839,317,996,449/590,529
  6. Step 6: Final answer
    x = 1,421,298.52

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Why These Related Problems?

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