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Finding the Third Proportional to 273,106 and 596,240

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Solution

The third proportional to 273,106 and 596,240 is: 1,301,700.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,106 : 596,240 = 596,240 : x
  2. Step 2: Convert to fraction form
    273,106/596,240 = 596,240/x
  3. Step 3: Cross multiply
    273,106x = 596,240 × 596,240
  4. Step 4: Simplify right side
    273,106x = 355,502,137,600
  5. Step 5: Solve for x
    x = 355,502,137,600/273,106
  6. Step 6: Final answer
    x = 1,301,700.21

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.