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Finding the Third Proportional to 262,367,164 and 574,158,548

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Solution

The third proportional to 262,367,164 and 574,158,548 is: 1,256,475,975.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,367,164 : 574,158,548 = 574,158,548 : x
  2. Step 2: Convert to fraction form
    262,367,164/574,158,548 = 574,158,548/x
  3. Step 3: Cross multiply
    262,367,164x = 574,158,548 × 574,158,548
  4. Step 4: Simplify right side
    262,367,164x = 329,658,038,241,468,288
  5. Step 5: Solve for x
    x = 329,658,038,241,468,288/262,367,164
  6. Step 6: Final answer
    x = 1,256,475,975.18

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Why These Related Problems?

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