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Finding the Third Proportional to 344,546,281.50 and 529,592,323.50

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Solution

The third proportional to 344,546,281.50 and 529,592,323.50 is: 814,021,349.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,546,281.50 : 529,592,323.50 = 529,592,323.50 : x
  2. Step 2: Convert to fraction form
    344,546,281.50/529,592,323.50 = 529,592,323.50/x
  3. Step 3: Cross multiply
    344,546,281.50x = 529,592,323.50 × 529,592,323.50
  4. Step 4: Simplify right side
    344,546,281.50x = 280,468,029,110,128,640
  5. Step 5: Solve for x
    x = 280,468,029,110,128,640/344,546,281.50
  6. Step 6: Final answer
    x = 814,021,349.73

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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.