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Finding the Third Proportional to 341,665,338.50 and 510,259,104.50

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Solution

The third proportional to 341,665,338.50 and 510,259,104.50 is: 762,044,973.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,665,338.50 : 510,259,104.50 = 510,259,104.50 : x
  2. Step 2: Convert to fraction form
    341,665,338.50/510,259,104.50 = 510,259,104.50/x
  3. Step 3: Cross multiply
    341,665,338.50x = 510,259,104.50 × 510,259,104.50
  4. Step 4: Simplify right side
    341,665,338.50x = 260,364,353,725,141,920
  5. Step 5: Solve for x
    x = 260,364,353,725,141,920/341,665,338.50
  6. Step 6: Final answer
    x = 762,044,973.21

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.