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Finding the Third Proportional to 344,547,114 and 529,593,723

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Solution

The third proportional to 344,547,114 and 529,593,723 is: 814,023,685.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,547,114 : 529,593,723 = 529,593,723 : x
  2. Step 2: Convert to fraction form
    344,547,114/529,593,723 = 529,593,723/x
  3. Step 3: Cross multiply
    344,547,114x = 529,593,723 × 529,593,723
  4. Step 4: Simplify right side
    344,547,114x = 280,469,511,441,000,736
  5. Step 5: Solve for x
    x = 280,469,511,441,000,736/344,547,114
  6. Step 6: Final answer
    x = 814,023,685.14

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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.