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Finding the Third Proportional to 306,310,338 and 655,677,348

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Solution

The third proportional to 306,310,338 and 655,677,348 is: 1,403,520,323.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,310,338 : 655,677,348 = 655,677,348 : x
  2. Step 2: Convert to fraction form
    306,310,338/655,677,348 = 655,677,348/x
  3. Step 3: Cross multiply
    306,310,338x = 655,677,348 × 655,677,348
  4. Step 4: Simplify right side
    306,310,338x = 429,912,784,680,313,088
  5. Step 5: Solve for x
    x = 429,912,784,680,313,088/306,310,338
  6. Step 6: Final answer
    x = 1,403,520,323.50

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.