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Finding the Third Proportional to 261,892,684 and 364,140,840

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Solution

The third proportional to 261,892,684 and 364,140,840 is: 506,308,726.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,892,684 : 364,140,840 = 364,140,840 : x
  2. Step 2: Convert to fraction form
    261,892,684/364,140,840 = 364,140,840/x
  3. Step 3: Cross multiply
    261,892,684x = 364,140,840 × 364,140,840
  4. Step 4: Simplify right side
    261,892,684x = 132,598,551,355,905,600
  5. Step 5: Solve for x
    x = 132,598,551,355,905,600/261,892,684
  6. Step 6: Final answer
    x = 506,308,726.65

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.