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Finding the Third Proportional to 276,050,394 and 590,878,728

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Solution

The third proportional to 276,050,394 and 590,878,728 is: 1,264,760,633.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,050,394 : 590,878,728 = 590,878,728 : x
  2. Step 2: Convert to fraction form
    276,050,394/590,878,728 = 590,878,728/x
  3. Step 3: Cross multiply
    276,050,394x = 590,878,728 × 590,878,728
  4. Step 4: Simplify right side
    276,050,394x = 349,137,671,202,897,984
  5. Step 5: Solve for x
    x = 349,137,671,202,897,984/276,050,394
  6. Step 6: Final answer
    x = 1,264,760,633.53

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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.