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Finding the Third Proportional to 346,321 and 531,963

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Solution

The third proportional to 346,321 and 531,963 is: 817,116.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,321 : 531,963 = 531,963 : x
  2. Step 2: Convert to fraction form
    346,321/531,963 = 531,963/x
  3. Step 3: Cross multiply
    346,321x = 531,963 × 531,963
  4. Step 4: Simplify right side
    346,321x = 282,984,633,369
  5. Step 5: Solve for x
    x = 282,984,633,369/346,321
  6. Step 6: Final answer
    x = 817,116.59

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.