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Finding the Third Proportional to 273,468 and 596,281

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Solution

The third proportional to 273,468 and 596,281 is: 1,300,155.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,468 : 596,281 = 596,281 : x
  2. Step 2: Convert to fraction form
    273,468/596,281 = 596,281/x
  3. Step 3: Cross multiply
    273,468x = 596,281 × 596,281
  4. Step 4: Simplify right side
    273,468x = 355,551,030,961
  5. Step 5: Solve for x
    x = 355,551,030,961/273,468
  6. Step 6: Final answer
    x = 1,300,155.89

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