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Finding the Third Proportional to 298,411,841.25 and 642,173,328

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Solution

The third proportional to 298,411,841.25 and 642,173,328 is: 1,381,937,732.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,411,841.25 : 642,173,328 = 642,173,328 : x
  2. Step 2: Convert to fraction form
    298,411,841.25/642,173,328 = 642,173,328/x
  3. Step 3: Cross multiply
    298,411,841.25x = 642,173,328 × 642,173,328
  4. Step 4: Simplify right side
    298,411,841.25x = 412,386,583,194,595,584
  5. Step 5: Solve for x
    x = 412,386,583,194,595,584/298,411,841.25
  6. Step 6: Final answer
    x = 1,381,937,732.32

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.