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Finding the Third Proportional to 276,050,380 and 590,878,700

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Solution

The third proportional to 276,050,380 and 590,878,700 is: 1,264,760,577.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,050,380 : 590,878,700 = 590,878,700 : x
  2. Step 2: Convert to fraction form
    276,050,380/590,878,700 = 590,878,700/x
  3. Step 3: Cross multiply
    276,050,380x = 590,878,700 × 590,878,700
  4. Step 4: Simplify right side
    276,050,380x = 349,137,638,113,689,984
  5. Step 5: Solve for x
    x = 349,137,638,113,689,984/276,050,380
  6. Step 6: Final answer
    x = 1,264,760,577.81

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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.