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Finding the Third Proportional to 362,978,724 and 557,924,310

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Solution

The third proportional to 362,978,724 and 557,924,310 is: 857,569,645.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,978,724 : 557,924,310 = 557,924,310 : x
  2. Step 2: Convert to fraction form
    362,978,724/557,924,310 = 557,924,310/x
  3. Step 3: Cross multiply
    362,978,724x = 557,924,310 × 557,924,310
  4. Step 4: Simplify right side
    362,978,724x = 311,279,535,688,976,128
  5. Step 5: Solve for x
    x = 311,279,535,688,976,128/362,978,724
  6. Step 6: Final answer
    x = 857,569,645.57

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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.