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Finding the Third Proportional to 454,886,381.25 and 650,044,460.25

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Solution

The third proportional to 454,886,381.25 and 650,044,460.25 is: 928,930,426.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,886,381.25 : 650,044,460.25 = 650,044,460.25 : x
  2. Step 2: Convert to fraction form
    454,886,381.25/650,044,460.25 = 650,044,460.25/x
  3. Step 3: Cross multiply
    454,886,381.25x = 650,044,460.25 × 650,044,460.25
  4. Step 4: Simplify right side
    454,886,381.25x = 422,557,800,301,713,856
  5. Step 5: Solve for x
    x = 422,557,800,301,713,856/454,886,381.25
  6. Step 6: Final answer
    x = 928,930,426.85

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.