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Finding the Third Proportional to 338,374,572 and 509,802,114

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Solution

The third proportional to 338,374,572 and 509,802,114 is: 768,078,386.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,374,572 : 509,802,114 = 509,802,114 : x
  2. Step 2: Convert to fraction form
    338,374,572/509,802,114 = 509,802,114/x
  3. Step 3: Cross multiply
    338,374,572x = 509,802,114 × 509,802,114
  4. Step 4: Simplify right side
    338,374,572x = 259,898,195,438,868,992
  5. Step 5: Solve for x
    x = 259,898,195,438,868,992/338,374,572
  6. Step 6: Final answer
    x = 768,078,386.93

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.