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Finding the Third Proportional to 303,879,984 and 618,499,248

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Solution

The third proportional to 303,879,984 and 618,499,248 is: 1,258,856,587.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,879,984 : 618,499,248 = 618,499,248 : x
  2. Step 2: Convert to fraction form
    303,879,984/618,499,248 = 618,499,248/x
  3. Step 3: Cross multiply
    303,879,984x = 618,499,248 × 618,499,248
  4. Step 4: Simplify right side
    303,879,984x = 382,541,319,776,565,504
  5. Step 5: Solve for x
    x = 382,541,319,776,565,504/303,879,984
  6. Step 6: Final answer
    x = 1,258,856,587.86

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.