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Finding the Third Proportional to 344,546,254.13 and 529,592,281.31

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Solution

The third proportional to 344,546,254.13 and 529,592,281.31 is: 814,021,284.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,546,254.13 : 529,592,281.31 = 529,592,281.31 : x
  2. Step 2: Convert to fraction form
    344,546,254.13/529,592,281.31 = 529,592,281.31/x
  3. Step 3: Cross multiply
    344,546,254.13x = 529,592,281.31 × 529,592,281.31
  4. Step 4: Simplify right side
    344,546,254.13x = 280,467,984,425,778,144
  5. Step 5: Solve for x
    x = 280,467,984,425,778,144/344,546,254.13
  6. Step 6: Final answer
    x = 814,021,284.71

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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.