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Finding the Third Proportional to 433,116 and 679,590

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Solution

The third proportional to 433,116 and 679,590 is: 1,066,325.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,116 : 679,590 = 679,590 : x
  2. Step 2: Convert to fraction form
    433,116/679,590 = 679,590/x
  3. Step 3: Cross multiply
    433,116x = 679,590 × 679,590
  4. Step 4: Simplify right side
    433,116x = 461,842,568,100
  5. Step 5: Solve for x
    x = 461,842,568,100/433,116
  6. Step 6: Final answer
    x = 1,066,325.34

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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.