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Finding the Third Proportional to 403,943,208 and 614,059,478

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Solution

The third proportional to 403,943,208 and 614,059,478 is: 933,470,436.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,943,208 : 614,059,478 = 614,059,478 : x
  2. Step 2: Convert to fraction form
    403,943,208/614,059,478 = 614,059,478/x
  3. Step 3: Cross multiply
    403,943,208x = 614,059,478 × 614,059,478
  4. Step 4: Simplify right side
    403,943,208x = 377,069,042,521,632,512
  5. Step 5: Solve for x
    x = 377,069,042,521,632,512/403,943,208
  6. Step 6: Final answer
    x = 933,470,436.08

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.