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Finding the Third Proportional to 311,766,332 and 435,867,705

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Solution

The third proportional to 311,766,332 and 435,867,705 is: 609,368,737.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,766,332 : 435,867,705 = 435,867,705 : x
  2. Step 2: Convert to fraction form
    311,766,332/435,867,705 = 435,867,705/x
  3. Step 3: Cross multiply
    311,766,332x = 435,867,705 × 435,867,705
  4. Step 4: Simplify right side
    311,766,332x = 189,980,656,261,967,040
  5. Step 5: Solve for x
    x = 189,980,656,261,967,040/311,766,332
  6. Step 6: Final answer
    x = 609,368,737.94

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.