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Finding the Third Proportional to 344,546,301 and 529,592,353.50

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Solution

The third proportional to 344,546,301 and 529,592,353.50 is: 814,021,395.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,546,301 : 529,592,353.50 = 529,592,353.50 : x
  2. Step 2: Convert to fraction form
    344,546,301/529,592,353.50 = 529,592,353.50/x
  3. Step 3: Cross multiply
    344,546,301x = 529,592,353.50 × 529,592,353.50
  4. Step 4: Simplify right side
    344,546,301x = 280,468,060,885,668,960
  5. Step 5: Solve for x
    x = 280,468,060,885,668,960/344,546,301
  6. Step 6: Final answer
    x = 814,021,395.88

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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.