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Finding the Third Proportional to 346,001.63 and 748,865.25

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Solution

The third proportional to 346,001.63 and 748,865.25 is: 1,620,799.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,001.63 : 748,865.25 = 748,865.25 : x
  2. Step 2: Convert to fraction form
    346,001.63/748,865.25 = 748,865.25/x
  3. Step 3: Cross multiply
    346,001.63x = 748,865.25 × 748,865.25
  4. Step 4: Simplify right side
    346,001.63x = 560,799,162,657.56
  5. Step 5: Solve for x
    x = 560,799,162,657.56/346,001.63
  6. Step 6: Final answer
    x = 1,620,799.22

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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.