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Finding the Third Proportional to 501,315 and 822,956

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Solution

The third proportional to 501,315 and 822,956 is: 1,350,960.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,315 : 822,956 = 822,956 : x
  2. Step 2: Convert to fraction form
    501,315/822,956 = 822,956/x
  3. Step 3: Cross multiply
    501,315x = 822,956 × 822,956
  4. Step 4: Simplify right side
    501,315x = 677,256,577,936
  5. Step 5: Solve for x
    x = 677,256,577,936/501,315
  6. Step 6: Final answer
    x = 1,350,960.13

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.