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Finding the Third Proportional to 346,000 and 748,862

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Solution

The third proportional to 346,000 and 748,862 is: 1,620,792.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,000 : 748,862 = 748,862 : x
  2. Step 2: Convert to fraction form
    346,000/748,862 = 748,862/x
  3. Step 3: Cross multiply
    346,000x = 748,862 × 748,862
  4. Step 4: Simplify right side
    346,000x = 560,794,295,044
  5. Step 5: Solve for x
    x = 560,794,295,044/346,000
  6. Step 6: Final answer
    x = 1,620,792.76

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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.