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Finding the Third Proportional to 464,664 and 683,380

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Solution

The third proportional to 464,664 and 683,380 is: 1,005,044.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,664 : 683,380 = 683,380 : x
  2. Step 2: Convert to fraction form
    464,664/683,380 = 683,380/x
  3. Step 3: Cross multiply
    464,664x = 683,380 × 683,380
  4. Step 4: Simplify right side
    464,664x = 467,008,224,400
  5. Step 5: Solve for x
    x = 467,008,224,400/464,664
  6. Step 6: Final answer
    x = 1,005,044.99

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.