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Finding the Third Proportional to 300,510 and 634,554

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Solution

The third proportional to 300,510 and 634,554 is: 1,339,918.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,510 : 634,554 = 634,554 : x
  2. Step 2: Convert to fraction form
    300,510/634,554 = 634,554/x
  3. Step 3: Cross multiply
    300,510x = 634,554 × 634,554
  4. Step 4: Simplify right side
    300,510x = 402,658,778,916
  5. Step 5: Solve for x
    x = 402,658,778,916/300,510
  6. Step 6: Final answer
    x = 1,339,918.07

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.