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Finding the Third Proportional to 590,473.75 and 916,814.75

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Solution

The third proportional to 590,473.75 and 916,814.75 is: 1,423,516.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,473.75 : 916,814.75 = 916,814.75 : x
  2. Step 2: Convert to fraction form
    590,473.75/916,814.75 = 916,814.75/x
  3. Step 3: Cross multiply
    590,473.75x = 916,814.75 × 916,814.75
  4. Step 4: Simplify right side
    590,473.75x = 840,549,285,817.56
  5. Step 5: Solve for x
    x = 840,549,285,817.56/590,473.75
  6. Step 6: Final answer
    x = 1,423,516.77

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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.