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Finding the Third Proportional to 385,950,853 and 596,358,058

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Solution

The third proportional to 385,950,853 and 596,358,058 is: 921,472,074.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,950,853 : 596,358,058 = 596,358,058 : x
  2. Step 2: Convert to fraction form
    385,950,853/596,358,058 = 596,358,058/x
  3. Step 3: Cross multiply
    385,950,853x = 596,358,058 × 596,358,058
  4. Step 4: Simplify right side
    385,950,853x = 355,642,933,341,531,392
  5. Step 5: Solve for x
    x = 355,642,933,341,531,392/385,950,853
  6. Step 6: Final answer
    x = 921,472,074.95

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