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Finding the Third Proportional to 273,428 and 428,062

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Solution

The third proportional to 273,428 and 428,062 is: 670,147.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,428 : 428,062 = 428,062 : x
  2. Step 2: Convert to fraction form
    273,428/428,062 = 428,062/x
  3. Step 3: Cross multiply
    273,428x = 428,062 × 428,062
  4. Step 4: Simplify right side
    273,428x = 183,237,075,844
  5. Step 5: Solve for x
    x = 183,237,075,844/273,428
  6. Step 6: Final answer
    x = 670,147.45

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.