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Finding the Third Proportional to 272,070 and 596,652

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Solution

The third proportional to 272,070 and 596,652 is: 1,308,463.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,070 : 596,652 = 596,652 : x
  2. Step 2: Convert to fraction form
    272,070/596,652 = 596,652/x
  3. Step 3: Cross multiply
    272,070x = 596,652 × 596,652
  4. Step 4: Simplify right side
    272,070x = 355,993,609,104
  5. Step 5: Solve for x
    x = 355,993,609,104/272,070
  6. Step 6: Final answer
    x = 1,308,463.30

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.