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Finding the Third Proportional to 456,864 and 727,536

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Solution

The third proportional to 456,864 and 727,536 is: 1,158,569.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,864 : 727,536 = 727,536 : x
  2. Step 2: Convert to fraction form
    456,864/727,536 = 727,536/x
  3. Step 3: Cross multiply
    456,864x = 727,536 × 727,536
  4. Step 4: Simplify right side
    456,864x = 529,308,631,296
  5. Step 5: Solve for x
    x = 529,308,631,296/456,864
  6. Step 6: Final answer
    x = 1,158,569.36

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.