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Finding the Third Proportional to 545,124 and 812,358.75

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Solution

The third proportional to 545,124 and 812,358.75 is: 1,210,599.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,124 : 812,358.75 = 812,358.75 : x
  2. Step 2: Convert to fraction form
    545,124/812,358.75 = 812,358.75/x
  3. Step 3: Cross multiply
    545,124x = 812,358.75 × 812,358.75
  4. Step 4: Simplify right side
    545,124x = 659,926,738,701.56
  5. Step 5: Solve for x
    x = 659,926,738,701.56/545,124
  6. Step 6: Final answer
    x = 1,210,599.31

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.