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Finding the Third Proportional to 338,094,418 and 509,802,270

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Solution

The third proportional to 338,094,418 and 509,802,270 is: 768,715,307.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,094,418 : 509,802,270 = 509,802,270 : x
  2. Step 2: Convert to fraction form
    338,094,418/509,802,270 = 509,802,270/x
  3. Step 3: Cross multiply
    338,094,418x = 509,802,270 × 509,802,270
  4. Step 4: Simplify right side
    338,094,418x = 259,898,354,497,152,896
  5. Step 5: Solve for x
    x = 259,898,354,497,152,896/338,094,418
  6. Step 6: Final answer
    x = 768,715,307.50

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.