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Finding the Third Proportional to 275,154 and 596,106.75

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Solution

The third proportional to 275,154 and 596,106.75 is: 1,291,434.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,154 : 596,106.75 = 596,106.75 : x
  2. Step 2: Convert to fraction form
    275,154/596,106.75 = 596,106.75/x
  3. Step 3: Cross multiply
    275,154x = 596,106.75 × 596,106.75
  4. Step 4: Simplify right side
    275,154x = 355,343,257,395.56
  5. Step 5: Solve for x
    x = 355,343,257,395.56/275,154
  6. Step 6: Final answer
    x = 1,291,434.10

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.