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Finding the Third Proportional to 262,367,142 and 574,158,504

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Solution

The third proportional to 262,367,142 and 574,158,504 is: 1,256,475,887.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,367,142 : 574,158,504 = 574,158,504 : x
  2. Step 2: Convert to fraction form
    262,367,142/574,158,504 = 574,158,504/x
  3. Step 3: Cross multiply
    262,367,142x = 574,158,504 × 574,158,504
  4. Step 4: Simplify right side
    262,367,142x = 329,657,987,715,518,016
  5. Step 5: Solve for x
    x = 329,657,987,715,518,016/262,367,142
  6. Step 6: Final answer
    x = 1,256,475,887.96

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.