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Finding the Third Proportional to 257,521,564 and 558,941,240

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Solution

The third proportional to 257,521,564 and 558,941,240 is: 1,213,161,744.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,521,564 : 558,941,240 = 558,941,240 : x
  2. Step 2: Convert to fraction form
    257,521,564/558,941,240 = 558,941,240/x
  3. Step 3: Cross multiply
    257,521,564x = 558,941,240 × 558,941,240
  4. Step 4: Simplify right side
    257,521,564x = 312,415,309,772,737,600
  5. Step 5: Solve for x
    x = 312,415,309,772,737,600/257,521,564
  6. Step 6: Final answer
    x = 1,213,161,744.28

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.