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Finding the Third Proportional to 273,306 and 588,130.50

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Solution

The third proportional to 273,306 and 588,130.50 is: 1,265,605.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,306 : 588,130.50 = 588,130.50 : x
  2. Step 2: Convert to fraction form
    273,306/588,130.50 = 588,130.50/x
  3. Step 3: Cross multiply
    273,306x = 588,130.50 × 588,130.50
  4. Step 4: Simplify right side
    273,306x = 345,897,485,030.25
  5. Step 5: Solve for x
    x = 345,897,485,030.25/273,306
  6. Step 6: Final answer
    x = 1,265,605.16

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.