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Finding the Third Proportional to 276,050,397 and 590,878,734

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Solution

The third proportional to 276,050,397 and 590,878,734 is: 1,264,760,645.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,050,397 : 590,878,734 = 590,878,734 : x
  2. Step 2: Convert to fraction form
    276,050,397/590,878,734 = 590,878,734/x
  3. Step 3: Cross multiply
    276,050,397x = 590,878,734 × 590,878,734
  4. Step 4: Simplify right side
    276,050,397x = 349,137,678,293,442,752
  5. Step 5: Solve for x
    x = 349,137,678,293,442,752/276,050,397
  6. Step 6: Final answer
    x = 1,264,760,645.48

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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.