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Finding the Third Proportional to 548,711 and 824,527.50

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Solution

The third proportional to 548,711 and 824,527.50 is: 1,238,986.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,711 : 824,527.50 = 824,527.50 : x
  2. Step 2: Convert to fraction form
    548,711/824,527.50 = 824,527.50/x
  3. Step 3: Cross multiply
    548,711x = 824,527.50 × 824,527.50
  4. Step 4: Simplify right side
    548,711x = 679,845,598,256.25
  5. Step 5: Solve for x
    x = 679,845,598,256.25/548,711
  6. Step 6: Final answer
    x = 1,238,986.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.