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Finding the Third Proportional to 551,688 and 828,084

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Solution

The third proportional to 551,688 and 828,084 is: 1,242,954.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,688 : 828,084 = 828,084 : x
  2. Step 2: Convert to fraction form
    551,688/828,084 = 828,084/x
  3. Step 3: Cross multiply
    551,688x = 828,084 × 828,084
  4. Step 4: Simplify right side
    551,688x = 685,723,111,056
  5. Step 5: Solve for x
    x = 685,723,111,056/551,688
  6. Step 6: Final answer
    x = 1,242,954.55

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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.