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Finding the Third Proportional to 286,755,364.41 and 442,800,466.45

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Solution

The third proportional to 286,755,364.41 and 442,800,466.45 is: 683,761,412.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,755,364.41 : 442,800,466.45 = 442,800,466.45 : x
  2. Step 2: Convert to fraction form
    286,755,364.41/442,800,466.45 = 442,800,466.45/x
  3. Step 3: Cross multiply
    286,755,364.41x = 442,800,466.45 × 442,800,466.45
  4. Step 4: Simplify right side
    286,755,364.41x = 196,072,253,091,100,640
  5. Step 5: Solve for x
    x = 196,072,253,091,100,640/286,755,364.41
  6. Step 6: Final answer
    x = 683,761,412.79

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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.