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Finding the Third Proportional to 260,046 and 412,618.50

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Solution

The third proportional to 260,046 and 412,618.50 is: 654,707.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,046 : 412,618.50 = 412,618.50 : x
  2. Step 2: Convert to fraction form
    260,046/412,618.50 = 412,618.50/x
  3. Step 3: Cross multiply
    260,046x = 412,618.50 × 412,618.50
  4. Step 4: Simplify right side
    260,046x = 170,254,026,542.25
  5. Step 5: Solve for x
    x = 170,254,026,542.25/260,046
  6. Step 6: Final answer
    x = 654,707.35

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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.