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Finding the Third Proportional to 346,496 and 746,560

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Solution

The third proportional to 346,496 and 746,560 is: 1,608,537.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,496 : 746,560 = 746,560 : x
  2. Step 2: Convert to fraction form
    346,496/746,560 = 746,560/x
  3. Step 3: Cross multiply
    346,496x = 746,560 × 746,560
  4. Step 4: Simplify right side
    346,496x = 557,351,833,600
  5. Step 5: Solve for x
    x = 557,351,833,600/346,496
  6. Step 6: Final answer
    x = 1,608,537.57

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.