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Finding the Third Proportional to 369,085,880 and 519,094,596

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Solution

The third proportional to 369,085,880 and 519,094,596 is: 730,071,818.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,085,880 : 519,094,596 = 519,094,596 : x
  2. Step 2: Convert to fraction form
    369,085,880/519,094,596 = 519,094,596/x
  3. Step 3: Cross multiply
    369,085,880x = 519,094,596 × 519,094,596
  4. Step 4: Simplify right side
    369,085,880x = 269,459,199,596,403,200
  5. Step 5: Solve for x
    x = 269,459,199,596,403,200/369,085,880
  6. Step 6: Final answer
    x = 730,071,818.51

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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.