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Finding the Third Proportional to 357,257,723.67 and 773,880,624.84

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Solution

The third proportional to 357,257,723.67 and 773,880,624.84 is: 1,676,356,259.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,257,723.67 : 773,880,624.84 = 773,880,624.84 : x
  2. Step 2: Convert to fraction form
    357,257,723.67/773,880,624.84 = 773,880,624.84/x
  3. Step 3: Cross multiply
    357,257,723.67x = 773,880,624.84 × 773,880,624.84
  4. Step 4: Simplify right side
    357,257,723.67x = 598,891,221,508,552,960
  5. Step 5: Solve for x
    x = 598,891,221,508,552,960/357,257,723.67
  6. Step 6: Final answer
    x = 1,676,356,259.99

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.