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Finding the Third Proportional to 272,896 and 592,896

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Solution

The third proportional to 272,896 and 592,896 is: 1,288,130.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,896 : 592,896 = 592,896 : x
  2. Step 2: Convert to fraction form
    272,896/592,896 = 592,896/x
  3. Step 3: Cross multiply
    272,896x = 592,896 × 592,896
  4. Step 4: Simplify right side
    272,896x = 351,525,666,816
  5. Step 5: Solve for x
    x = 351,525,666,816/272,896
  6. Step 6: Final answer
    x = 1,288,130.52

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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.