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Finding the Third Proportional to 430,212 and 935,052

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Solution

The third proportional to 430,212 and 935,052 is: 2,032,305.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,212 : 935,052 = 935,052 : x
  2. Step 2: Convert to fraction form
    430,212/935,052 = 935,052/x
  3. Step 3: Cross multiply
    430,212x = 935,052 × 935,052
  4. Step 4: Simplify right side
    430,212x = 874,322,242,704
  5. Step 5: Solve for x
    x = 874,322,242,704/430,212
  6. Step 6: Final answer
    x = 2,032,305.57

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.