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Finding the Third Proportional to 282,128 and 603,074

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Solution

The third proportional to 282,128 and 603,074 is: 1,289,124.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,128 : 603,074 = 603,074 : x
  2. Step 2: Convert to fraction form
    282,128/603,074 = 603,074/x
  3. Step 3: Cross multiply
    282,128x = 603,074 × 603,074
  4. Step 4: Simplify right side
    282,128x = 363,698,249,476
  5. Step 5: Solve for x
    x = 363,698,249,476/282,128
  6. Step 6: Final answer
    x = 1,289,124.97

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.