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Finding the Third Proportional to 354,875,671 and 772,240,548

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Solution

The third proportional to 354,875,671 and 772,240,548 is: 1,680,463,082.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,875,671 : 772,240,548 = 772,240,548 : x
  2. Step 2: Convert to fraction form
    354,875,671/772,240,548 = 772,240,548/x
  3. Step 3: Cross multiply
    354,875,671x = 772,240,548 × 772,240,548
  4. Step 4: Simplify right side
    354,875,671x = 596,355,463,975,340,288
  5. Step 5: Solve for x
    x = 596,355,463,975,340,288/354,875,671
  6. Step 6: Final answer
    x = 1,680,463,082.45

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.