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Finding the Third Proportional to 346,961.38 and 803,165.63

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Solution

The third proportional to 346,961.38 and 803,165.63 is: 1,859,212.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,961.38 : 803,165.63 = 803,165.63 : x
  2. Step 2: Convert to fraction form
    346,961.38/803,165.63 = 803,165.63/x
  3. Step 3: Cross multiply
    346,961.38x = 803,165.63 × 803,165.63
  4. Step 4: Simplify right side
    346,961.38x = 645,075,021,181.64
  5. Step 5: Solve for x
    x = 645,075,021,181.64/346,961.38
  6. Step 6: Final answer
    x = 1,859,212.78

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.