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Finding the Third Proportional to 413,671,444.88 and 614,646,690.75

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Solution

The third proportional to 413,671,444.88 and 614,646,690.75 is: 913,262,346.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,671,444.88 : 614,646,690.75 = 614,646,690.75 : x
  2. Step 2: Convert to fraction form
    413,671,444.88/614,646,690.75 = 614,646,690.75/x
  3. Step 3: Cross multiply
    413,671,444.88x = 614,646,690.75 × 614,646,690.75
  4. Step 4: Simplify right side
    413,671,444.88x = 377,790,554,449,926,144
  5. Step 5: Solve for x
    x = 377,790,554,449,926,144/413,671,444.88
  6. Step 6: Final answer
    x = 913,262,346.56

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.