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Finding the Third Proportional to 309,064 and 651,892

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Solution

The third proportional to 309,064 and 651,892 is: 1,375,000.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,064 : 651,892 = 651,892 : x
  2. Step 2: Convert to fraction form
    309,064/651,892 = 651,892/x
  3. Step 3: Cross multiply
    309,064x = 651,892 × 651,892
  4. Step 4: Simplify right side
    309,064x = 424,963,179,664
  5. Step 5: Solve for x
    x = 424,963,179,664/309,064
  6. Step 6: Final answer
    x = 1,375,000.58

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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.