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Finding the Third Proportional to 260,043 and 412,613.50

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Solution

The third proportional to 260,043 and 412,613.50 is: 654,699.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,043 : 412,613.50 = 412,613.50 : x
  2. Step 2: Convert to fraction form
    260,043/412,613.50 = 412,613.50/x
  3. Step 3: Cross multiply
    260,043x = 412,613.50 × 412,613.50
  4. Step 4: Simplify right side
    260,043x = 170,249,900,382.25
  5. Step 5: Solve for x
    x = 170,249,900,382.25/260,043
  6. Step 6: Final answer
    x = 654,699.03

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.