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Finding the Third Proportional to 369,471 and 556,850.25

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Solution

The third proportional to 369,471 and 556,850.25 is: 839,259.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,471 : 556,850.25 = 556,850.25 : x
  2. Step 2: Convert to fraction form
    369,471/556,850.25 = 556,850.25/x
  3. Step 3: Cross multiply
    369,471x = 556,850.25 × 556,850.25
  4. Step 4: Simplify right side
    369,471x = 310,082,200,925.06
  5. Step 5: Solve for x
    x = 310,082,200,925.06/369,471
  6. Step 6: Final answer
    x = 839,259.92

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.