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Finding the Third Proportional to 310,210,928 and 480,340,524

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Solution

The third proportional to 310,210,928 and 480,340,524 is: 743,774,632.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,210,928 : 480,340,524 = 480,340,524 : x
  2. Step 2: Convert to fraction form
    310,210,928/480,340,524 = 480,340,524/x
  3. Step 3: Cross multiply
    310,210,928x = 480,340,524 × 480,340,524
  4. Step 4: Simplify right side
    310,210,928x = 230,727,018,996,594,560
  5. Step 5: Solve for x
    x = 230,727,018,996,594,560/310,210,928
  6. Step 6: Final answer
    x = 743,774,632.58

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.