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Finding the Third Proportional to 272,070 and 590,735

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Solution

The third proportional to 272,070 and 590,735 is: 1,282,639.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,070 : 590,735 = 590,735 : x
  2. Step 2: Convert to fraction form
    272,070/590,735 = 590,735/x
  3. Step 3: Cross multiply
    272,070x = 590,735 × 590,735
  4. Step 4: Simplify right side
    272,070x = 348,967,840,225
  5. Step 5: Solve for x
    x = 348,967,840,225/272,070
  6. Step 6: Final answer
    x = 1,282,639.91

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.