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Finding the Third Proportional to 369,085,872 and 519,094,584

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Solution

The third proportional to 369,085,872 and 519,094,584 is: 730,071,800.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,085,872 : 519,094,584 = 519,094,584 : x
  2. Step 2: Convert to fraction form
    369,085,872/519,094,584 = 519,094,584/x
  3. Step 3: Cross multiply
    369,085,872x = 519,094,584 × 519,094,584
  4. Step 4: Simplify right side
    369,085,872x = 269,459,187,138,133,056
  5. Step 5: Solve for x
    x = 269,459,187,138,133,056/369,085,872
  6. Step 6: Final answer
    x = 730,071,800.58

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Why These Related Problems?

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