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Finding the Third Proportional to 371,444,256 and 558,102,384

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Solution

The third proportional to 371,444,256 and 558,102,384 is: 838,559,934.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,444,256 : 558,102,384 = 558,102,384 : x
  2. Step 2: Convert to fraction form
    371,444,256/558,102,384 = 558,102,384/x
  3. Step 3: Cross multiply
    371,444,256x = 558,102,384 × 558,102,384
  4. Step 4: Simplify right side
    371,444,256x = 311,478,271,026,483,456
  5. Step 5: Solve for x
    x = 311,478,271,026,483,456/371,444,256
  6. Step 6: Final answer
    x = 838,559,934.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.