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Finding the Third Proportional to 462,977.44 and 695,698.88

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Solution

The third proportional to 462,977.44 and 695,698.88 is: 1,045,400.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,977.44 : 695,698.88 = 695,698.88 : x
  2. Step 2: Convert to fraction form
    462,977.44/695,698.88 = 695,698.88/x
  3. Step 3: Cross multiply
    462,977.44x = 695,698.88 × 695,698.88
  4. Step 4: Simplify right side
    462,977.44x = 483,996,924,676.27
  5. Step 5: Solve for x
    x = 483,996,924,676.27/462,977.44
  6. Step 6: Final answer
    x = 1,045,400.67

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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.