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Finding the Third Proportional to 591,272 and 913,155

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Solution

The third proportional to 591,272 and 913,155 is: 1,410,268.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,272 : 913,155 = 913,155 : x
  2. Step 2: Convert to fraction form
    591,272/913,155 = 913,155/x
  3. Step 3: Cross multiply
    591,272x = 913,155 × 913,155
  4. Step 4: Simplify right side
    591,272x = 833,852,054,025
  5. Step 5: Solve for x
    x = 833,852,054,025/591,272
  6. Step 6: Final answer
    x = 1,410,268.12

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.