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Finding the Third Proportional to 446,182 and 670,261

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Solution

The third proportional to 446,182 and 670,261 is: 1,006,875.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,182 : 670,261 = 670,261 : x
  2. Step 2: Convert to fraction form
    446,182/670,261 = 670,261/x
  3. Step 3: Cross multiply
    446,182x = 670,261 × 670,261
  4. Step 4: Simplify right side
    446,182x = 449,249,808,121
  5. Step 5: Solve for x
    x = 449,249,808,121/446,182
  6. Step 6: Final answer
    x = 1,006,875.69

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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.