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Finding the Third Proportional to 562,119.75 and 828,280.69

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Solution

The third proportional to 562,119.75 and 828,280.69 is: 1,220,467.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,119.75 : 828,280.69 = 828,280.69 : x
  2. Step 2: Convert to fraction form
    562,119.75/828,280.69 = 828,280.69/x
  3. Step 3: Cross multiply
    562,119.75x = 828,280.69 × 828,280.69
  4. Step 4: Simplify right side
    562,119.75x = 686,048,897,285.47
  5. Step 5: Solve for x
    x = 686,048,897,285.47/562,119.75
  6. Step 6: Final answer
    x = 1,220,467.52

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.