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Finding the Third Proportional to 630,780 and 943,558.50

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Solution

The third proportional to 630,780 and 943,558.50 is: 1,411,431.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    630,780 : 943,558.50 = 943,558.50 : x
  2. Step 2: Convert to fraction form
    630,780/943,558.50 = 943,558.50/x
  3. Step 3: Cross multiply
    630,780x = 943,558.50 × 943,558.50
  4. Step 4: Simplify right side
    630,780x = 890,302,642,922.25
  5. Step 5: Solve for x
    x = 890,302,642,922.25/630,780
  6. Step 6: Final answer
    x = 1,411,431.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.