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Finding the Third Proportional to 346,770 and 749,376

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Solution

The third proportional to 346,770 and 749,376 is: 1,619,414.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,770 : 749,376 = 749,376 : x
  2. Step 2: Convert to fraction form
    346,770/749,376 = 749,376/x
  3. Step 3: Cross multiply
    346,770x = 749,376 × 749,376
  4. Step 4: Simplify right side
    346,770x = 561,564,389,376
  5. Step 5: Solve for x
    x = 561,564,389,376/346,770
  6. Step 6: Final answer
    x = 1,619,414.57

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.