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Finding the Third Proportional to 345,569.50 and 540,927

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Solution

The third proportional to 345,569.50 and 540,927 is: 846,724.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,569.50 : 540,927 = 540,927 : x
  2. Step 2: Convert to fraction form
    345,569.50/540,927 = 540,927/x
  3. Step 3: Cross multiply
    345,569.50x = 540,927 × 540,927
  4. Step 4: Simplify right side
    345,569.50x = 292,602,019,329
  5. Step 5: Solve for x
    x = 292,602,019,329/345,569.50
  6. Step 6: Final answer
    x = 846,724.09

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.