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Finding the Third Proportional to 409,673,420 and 598,956,864

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Solution

The third proportional to 409,673,420 and 598,956,864 is: 875,695,877.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,673,420 : 598,956,864 = 598,956,864 : x
  2. Step 2: Convert to fraction form
    409,673,420/598,956,864 = 598,956,864/x
  3. Step 3: Cross multiply
    409,673,420x = 598,956,864 × 598,956,864
  4. Step 4: Simplify right side
    409,673,420x = 358,749,324,932,714,496
  5. Step 5: Solve for x
    x = 358,749,324,932,714,496/409,673,420
  6. Step 6: Final answer
    x = 875,695,877.30

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.