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Finding the Third Proportional to 264,748,050 and 408,287,436

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Solution

The third proportional to 264,748,050 and 408,287,436 is: 629,650,078.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,748,050 : 408,287,436 = 408,287,436 : x
  2. Step 2: Convert to fraction form
    264,748,050/408,287,436 = 408,287,436/x
  3. Step 3: Cross multiply
    264,748,050x = 408,287,436 × 408,287,436
  4. Step 4: Simplify right side
    264,748,050x = 166,698,630,395,454,080
  5. Step 5: Solve for x
    x = 166,698,630,395,454,080/264,748,050
  6. Step 6: Final answer
    x = 629,650,078.24

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.