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Finding the Third Proportional to 236,712 and 514,896

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Solution

The third proportional to 236,712 and 514,896 is: 1,120,001.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,712 : 514,896 = 514,896 : x
  2. Step 2: Convert to fraction form
    236,712/514,896 = 514,896/x
  3. Step 3: Cross multiply
    236,712x = 514,896 × 514,896
  4. Step 4: Simplify right side
    236,712x = 265,117,890,816
  5. Step 5: Solve for x
    x = 265,117,890,816/236,712
  6. Step 6: Final answer
    x = 1,120,001.90

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Why These Related Problems?

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