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Finding the Third Proportional to 464,490 and 654,108

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Solution

The third proportional to 464,490 and 654,108 is: 921,133.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,490 : 654,108 = 654,108 : x
  2. Step 2: Convert to fraction form
    464,490/654,108 = 654,108/x
  3. Step 3: Cross multiply
    464,490x = 654,108 × 654,108
  4. Step 4: Simplify right side
    464,490x = 427,857,275,664
  5. Step 5: Solve for x
    x = 427,857,275,664/464,490
  6. Step 6: Final answer
    x = 921,133.45

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.