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Finding the Third Proportional to 461,053,378 and 708,234,383

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Solution

The third proportional to 461,053,378 and 708,234,383 is: 1,087,934,640.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,053,378 : 708,234,383 = 708,234,383 : x
  2. Step 2: Convert to fraction form
    461,053,378/708,234,383 = 708,234,383/x
  3. Step 3: Cross multiply
    461,053,378x = 708,234,383 × 708,234,383
  4. Step 4: Simplify right side
    461,053,378x = 501,595,941,263,390,720
  5. Step 5: Solve for x
    x = 501,595,941,263,390,720/461,053,378
  6. Step 6: Final answer
    x = 1,087,934,640.97

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.