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Finding the Third Proportional to 395,551,766 and 581,896,200

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Solution

The third proportional to 395,551,766 and 581,896,200 is: 856,027,495.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,551,766 : 581,896,200 = 581,896,200 : x
  2. Step 2: Convert to fraction form
    395,551,766/581,896,200 = 581,896,200/x
  3. Step 3: Cross multiply
    395,551,766x = 581,896,200 × 581,896,200
  4. Step 4: Simplify right side
    395,551,766x = 338,603,187,574,440,000
  5. Step 5: Solve for x
    x = 338,603,187,574,440,000/395,551,766
  6. Step 6: Final answer
    x = 856,027,495.46

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.