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Finding the Third Proportional to 301,698 and 595,784

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Solution

The third proportional to 301,698 and 595,784 is: 1,176,536.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,698 : 595,784 = 595,784 : x
  2. Step 2: Convert to fraction form
    301,698/595,784 = 595,784/x
  3. Step 3: Cross multiply
    301,698x = 595,784 × 595,784
  4. Step 4: Simplify right side
    301,698x = 354,958,574,656
  5. Step 5: Solve for x
    x = 354,958,574,656/301,698
  6. Step 6: Final answer
    x = 1,176,536.05

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.