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Finding the Third Proportional to 441,495 and 679,466.25

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Solution

The third proportional to 441,495 and 679,466.25 is: 1,045,706.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,495 : 679,466.25 = 679,466.25 : x
  2. Step 2: Convert to fraction form
    441,495/679,466.25 = 679,466.25/x
  3. Step 3: Cross multiply
    441,495x = 679,466.25 × 679,466.25
  4. Step 4: Simplify right side
    441,495x = 461,674,384,889.06
  5. Step 5: Solve for x
    x = 461,674,384,889.06/441,495
  6. Step 6: Final answer
    x = 1,045,706.94

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.