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Finding the Third Proportional to 419,842,476 and 578,744,568

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Solution

The third proportional to 419,842,476 and 578,744,568 is: 797,787,966.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,842,476 : 578,744,568 = 578,744,568 : x
  2. Step 2: Convert to fraction form
    419,842,476/578,744,568 = 578,744,568/x
  3. Step 3: Cross multiply
    419,842,476x = 578,744,568 × 578,744,568
  4. Step 4: Simplify right side
    419,842,476x = 334,945,274,989,506,624
  5. Step 5: Solve for x
    x = 334,945,274,989,506,624/419,842,476
  6. Step 6: Final answer
    x = 797,787,966.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.