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Finding the Third Proportional to 346,460 and 759,124

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Solution

The third proportional to 346,460 and 759,124 is: 1,663,306.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,460 : 759,124 = 759,124 : x
  2. Step 2: Convert to fraction form
    346,460/759,124 = 759,124/x
  3. Step 3: Cross multiply
    346,460x = 759,124 × 759,124
  4. Step 4: Simplify right side
    346,460x = 576,269,247,376
  5. Step 5: Solve for x
    x = 576,269,247,376/346,460
  6. Step 6: Final answer
    x = 1,663,306.72

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.