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Finding the Third Proportional to 320,420,276 and 657,827,000

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Solution

The third proportional to 320,420,276 and 657,827,000 is: 1,350,527,398.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,420,276 : 657,827,000 = 657,827,000 : x
  2. Step 2: Convert to fraction form
    320,420,276/657,827,000 = 657,827,000/x
  3. Step 3: Cross multiply
    320,420,276x = 657,827,000 × 657,827,000
  4. Step 4: Simplify right side
    320,420,276x = 432,736,361,929,000,000
  5. Step 5: Solve for x
    x = 432,736,361,929,000,000/320,420,276
  6. Step 6: Final answer
    x = 1,350,527,398.99

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.