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Finding the Third Proportional to 276,050,399 and 590,878,738

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Solution

The third proportional to 276,050,399 and 590,878,738 is: 1,264,760,653.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,050,399 : 590,878,738 = 590,878,738 : x
  2. Step 2: Convert to fraction form
    276,050,399/590,878,738 = 590,878,738/x
  3. Step 3: Cross multiply
    276,050,399x = 590,878,738 × 590,878,738
  4. Step 4: Simplify right side
    276,050,399x = 349,137,683,020,472,640
  5. Step 5: Solve for x
    x = 349,137,683,020,472,640/276,050,399
  6. Step 6: Final answer
    x = 1,264,760,653.44

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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.