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Finding the Third Proportional to 273,312 and 591,552

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Solution

The third proportional to 273,312 and 591,552 is: 1,280,345.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,312 : 591,552 = 591,552 : x
  2. Step 2: Convert to fraction form
    273,312/591,552 = 591,552/x
  3. Step 3: Cross multiply
    273,312x = 591,552 × 591,552
  4. Step 4: Simplify right side
    273,312x = 349,933,768,704
  5. Step 5: Solve for x
    x = 349,933,768,704/273,312
  6. Step 6: Final answer
    x = 1,280,345.42

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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.