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Finding the Third Proportional to 428,779.50 and 846,714

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Solution

The third proportional to 428,779.50 and 846,714 is: 1,672,012.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,779.50 : 846,714 = 846,714 : x
  2. Step 2: Convert to fraction form
    428,779.50/846,714 = 846,714/x
  3. Step 3: Cross multiply
    428,779.50x = 846,714 × 846,714
  4. Step 4: Simplify right side
    428,779.50x = 716,924,597,796
  5. Step 5: Solve for x
    x = 716,924,597,796/428,779.50
  6. Step 6: Final answer
    x = 1,672,012.30

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.