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Finding the Third Proportional to 276,050,382 and 590,878,704

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Solution

The third proportional to 276,050,382 and 590,878,704 is: 1,264,760,585.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,050,382 : 590,878,704 = 590,878,704 : x
  2. Step 2: Convert to fraction form
    276,050,382/590,878,704 = 590,878,704/x
  3. Step 3: Cross multiply
    276,050,382x = 590,878,704 × 590,878,704
  4. Step 4: Simplify right side
    276,050,382x = 349,137,642,840,719,616
  5. Step 5: Solve for x
    x = 349,137,642,840,719,616/276,050,382
  6. Step 6: Final answer
    x = 1,264,760,585.77

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.