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Finding the Third Proportional to 240,194,476 and 524,432,216

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Solution

The third proportional to 240,194,476 and 524,432,216 is: 1,145,026,953.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,194,476 : 524,432,216 = 524,432,216 : x
  2. Step 2: Convert to fraction form
    240,194,476/524,432,216 = 524,432,216/x
  3. Step 3: Cross multiply
    240,194,476x = 524,432,216 × 524,432,216
  4. Step 4: Simplify right side
    240,194,476x = 275,029,149,178,670,656
  5. Step 5: Solve for x
    x = 275,029,149,178,670,656/240,194,476
  6. Step 6: Final answer
    x = 1,145,026,953.82

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.