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Finding the Third Proportional to 385,950,842 and 596,358,039

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Solution

The third proportional to 385,950,842 and 596,358,039 is: 921,472,042.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,950,842 : 596,358,039 = 596,358,039 : x
  2. Step 2: Convert to fraction form
    385,950,842/596,358,039 = 596,358,039/x
  3. Step 3: Cross multiply
    385,950,842x = 596,358,039 × 596,358,039
  4. Step 4: Simplify right side
    385,950,842x = 355,642,910,679,925,504
  5. Step 5: Solve for x
    x = 355,642,910,679,925,504/385,950,842
  6. Step 6: Final answer
    x = 921,472,042.49

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.