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Finding the Third Proportional to 369,085,884 and 519,094,602

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Solution

The third proportional to 369,085,884 and 519,094,602 is: 730,071,827.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,085,884 : 519,094,602 = 519,094,602 : x
  2. Step 2: Convert to fraction form
    369,085,884/519,094,602 = 519,094,602/x
  3. Step 3: Cross multiply
    369,085,884x = 519,094,602 × 519,094,602
  4. Step 4: Simplify right side
    369,085,884x = 269,459,205,825,538,400
  5. Step 5: Solve for x
    x = 269,459,205,825,538,400/369,085,884
  6. Step 6: Final answer
    x = 730,071,827.47

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.