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Finding the Third Proportional to 351,084 and 501,702

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Solution

The third proportional to 351,084 and 501,702 is: 716,936.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,084 : 501,702 = 501,702 : x
  2. Step 2: Convert to fraction form
    351,084/501,702 = 501,702/x
  3. Step 3: Cross multiply
    351,084x = 501,702 × 501,702
  4. Step 4: Simplify right side
    351,084x = 251,704,896,804
  5. Step 5: Solve for x
    x = 251,704,896,804/351,084
  6. Step 6: Final answer
    x = 716,936.39

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.