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Finding the Third Proportional to 346,295.25 and 531,927

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Solution

The third proportional to 346,295.25 and 531,927 is: 817,066.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,295.25 : 531,927 = 531,927 : x
  2. Step 2: Convert to fraction form
    346,295.25/531,927 = 531,927/x
  3. Step 3: Cross multiply
    346,295.25x = 531,927 × 531,927
  4. Step 4: Simplify right side
    346,295.25x = 282,946,333,329
  5. Step 5: Solve for x
    x = 282,946,333,329/346,295.25
  6. Step 6: Final answer
    x = 817,066.75

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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.