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Finding the Third Proportional to 362,978,752 and 557,924,352

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Solution

The third proportional to 362,978,752 and 557,924,352 is: 857,569,708.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,978,752 : 557,924,352 = 557,924,352 : x
  2. Step 2: Convert to fraction form
    362,978,752/557,924,352 = 557,924,352/x
  3. Step 3: Cross multiply
    362,978,752x = 557,924,352 × 557,924,352
  4. Step 4: Simplify right side
    362,978,752x = 311,279,582,554,619,904
  5. Step 5: Solve for x
    x = 311,279,582,554,619,904/362,978,752
  6. Step 6: Final answer
    x = 857,569,708.53

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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.