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Finding the Third Proportional to 520,573.50 and 1,160,779.50

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Solution

The third proportional to 520,573.50 and 1,160,779.50 is: 2,588,316.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,573.50 : 1,160,779.50 = 1,160,779.50 : x
  2. Step 2: Convert to fraction form
    520,573.50/1,160,779.50 = 1,160,779.50/x
  3. Step 3: Cross multiply
    520,573.50x = 1,160,779.50 × 1,160,779.50
  4. Step 4: Simplify right side
    520,573.50x = 1,347,409,047,620.25
  5. Step 5: Solve for x
    x = 1,347,409,047,620.25/520,573.50
  6. Step 6: Final answer
    x = 2,588,316.63

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.