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Finding the Third Proportional to 346,968 and 756,810

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Solution

The third proportional to 346,968 and 756,810 is: 1,650,761.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,968 : 756,810 = 756,810 : x
  2. Step 2: Convert to fraction form
    346,968/756,810 = 756,810/x
  3. Step 3: Cross multiply
    346,968x = 756,810 × 756,810
  4. Step 4: Simplify right side
    346,968x = 572,761,376,100
  5. Step 5: Solve for x
    x = 572,761,376,100/346,968
  6. Step 6: Final answer
    x = 1,650,761.38

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.