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Finding the Third Proportional to 300,141,897 and 650,378,547.75

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Solution

The third proportional to 300,141,897 and 650,378,547.75 is: 1,409,307,596.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,141,897 : 650,378,547.75 = 650,378,547.75 : x
  2. Step 2: Convert to fraction form
    300,141,897/650,378,547.75 = 650,378,547.75/x
  3. Step 3: Cross multiply
    300,141,897x = 650,378,547.75 × 650,378,547.75
  4. Step 4: Simplify right side
    300,141,897x = 422,992,255,373,399,040
  5. Step 5: Solve for x
    x = 422,992,255,373,399,040/300,141,897
  6. Step 6: Final answer
    x = 1,409,307,596.18

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.