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Finding the Third Proportional to 344,546,673.50 and 529,592,981.25

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Solution

The third proportional to 344,546,673.50 and 529,592,981.25 is: 814,022,445.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,546,673.50 : 529,592,981.25 = 529,592,981.25 : x
  2. Step 2: Convert to fraction form
    344,546,673.50/529,592,981.25 = 529,592,981.25/x
  3. Step 3: Cross multiply
    344,546,673.50x = 529,592,981.25 × 529,592,981.25
  4. Step 4: Simplify right side
    344,546,673.50x = 280,468,725,789,262,848
  5. Step 5: Solve for x
    x = 280,468,725,789,262,848/344,546,673.50
  6. Step 6: Final answer
    x = 814,022,445.61

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.