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Finding the Third Proportional to 430,558.50 and 942,927

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Solution

The third proportional to 430,558.50 and 942,927 is: 2,065,018.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,558.50 : 942,927 = 942,927 : x
  2. Step 2: Convert to fraction form
    430,558.50/942,927 = 942,927/x
  3. Step 3: Cross multiply
    430,558.50x = 942,927 × 942,927
  4. Step 4: Simplify right side
    430,558.50x = 889,111,327,329
  5. Step 5: Solve for x
    x = 889,111,327,329/430,558.50
  6. Step 6: Final answer
    x = 2,065,018.64

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.