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Finding the Third Proportional to 290,713,293 and 446,846,382

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Solution

The third proportional to 290,713,293 and 446,846,382 is: 686,833,708.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,713,293 : 446,846,382 = 446,846,382 : x
  2. Step 2: Convert to fraction form
    290,713,293/446,846,382 = 446,846,382/x
  3. Step 3: Cross multiply
    290,713,293x = 446,846,382 × 446,846,382
  4. Step 4: Simplify right side
    290,713,293x = 199,671,689,106,489,920
  5. Step 5: Solve for x
    x = 199,671,689,106,489,920/290,713,293
  6. Step 6: Final answer
    x = 686,833,708.38

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Why These Related Problems?

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