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Finding the Third Proportional to 348,354 and 754,677

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Solution

The third proportional to 348,354 and 754,677 is: 1,634,938.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,354 : 754,677 = 754,677 : x
  2. Step 2: Convert to fraction form
    348,354/754,677 = 754,677/x
  3. Step 3: Cross multiply
    348,354x = 754,677 × 754,677
  4. Step 4: Simplify right side
    348,354x = 569,537,374,329
  5. Step 5: Solve for x
    x = 569,537,374,329/348,354
  6. Step 6: Final answer
    x = 1,634,938.52

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