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Finding the Third Proportional to 273,160 and 591,248

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Solution

The third proportional to 273,160 and 591,248 is: 1,279,741.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,160 : 591,248 = 591,248 : x
  2. Step 2: Convert to fraction form
    273,160/591,248 = 591,248/x
  3. Step 3: Cross multiply
    273,160x = 591,248 × 591,248
  4. Step 4: Simplify right side
    273,160x = 349,574,197,504
  5. Step 5: Solve for x
    x = 349,574,197,504/273,160
  6. Step 6: Final answer
    x = 1,279,741.53

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.