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Finding the Third Proportional to 405,281 and 938,237

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Solution

The third proportional to 405,281 and 938,237 is: 2,172,045.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,281 : 938,237 = 938,237 : x
  2. Step 2: Convert to fraction form
    405,281/938,237 = 938,237/x
  3. Step 3: Cross multiply
    405,281x = 938,237 × 938,237
  4. Step 4: Simplify right side
    405,281x = 880,288,668,169
  5. Step 5: Solve for x
    x = 880,288,668,169/405,281
  6. Step 6: Final answer
    x = 2,172,045.24

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.