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Finding the Third Proportional to 346,963 and 803,170

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Solution

The third proportional to 346,963 and 803,170 is: 1,859,224.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,963 : 803,170 = 803,170 : x
  2. Step 2: Convert to fraction form
    346,963/803,170 = 803,170/x
  3. Step 3: Cross multiply
    346,963x = 803,170 × 803,170
  4. Step 4: Simplify right side
    346,963x = 645,082,048,900
  5. Step 5: Solve for x
    x = 645,082,048,900/346,963
  6. Step 6: Final answer
    x = 1,859,224.32

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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.