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Finding the Third Proportional to 548,742 and 824,574

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Solution

The third proportional to 548,742 and 824,574 is: 1,239,056.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,742 : 824,574 = 824,574 : x
  2. Step 2: Convert to fraction form
    548,742/824,574 = 824,574/x
  3. Step 3: Cross multiply
    548,742x = 824,574 × 824,574
  4. Step 4: Simplify right side
    548,742x = 679,922,281,476
  5. Step 5: Solve for x
    x = 679,922,281,476/548,742
  6. Step 6: Final answer
    x = 1,239,056.39

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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.