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Finding the Third Proportional to 349,787,920 and 522,754,080

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Solution

The third proportional to 349,787,920 and 522,754,080 is: 781,250,044.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,787,920 : 522,754,080 = 522,754,080 : x
  2. Step 2: Convert to fraction form
    349,787,920/522,754,080 = 522,754,080/x
  3. Step 3: Cross multiply
    349,787,920x = 522,754,080 × 522,754,080
  4. Step 4: Simplify right side
    349,787,920x = 273,271,828,156,646,400
  5. Step 5: Solve for x
    x = 273,271,828,156,646,400/349,787,920
  6. Step 6: Final answer
    x = 781,250,044.76

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.