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Finding the Third Proportional to 383,335.50 and 840,483

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Solution

The third proportional to 383,335.50 and 840,483 is: 1,842,802.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,335.50 : 840,483 = 840,483 : x
  2. Step 2: Convert to fraction form
    383,335.50/840,483 = 840,483/x
  3. Step 3: Cross multiply
    383,335.50x = 840,483 × 840,483
  4. Step 4: Simplify right side
    383,335.50x = 706,411,673,289
  5. Step 5: Solve for x
    x = 706,411,673,289/383,335.50
  6. Step 6: Final answer
    x = 1,842,802.64

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.