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Finding the Third Proportional to 342,483.75 and 542,283.75

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Solution

The third proportional to 342,483.75 and 542,283.75 is: 858,644.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,483.75 : 542,283.75 = 542,283.75 : x
  2. Step 2: Convert to fraction form
    342,483.75/542,283.75 = 542,283.75/x
  3. Step 3: Cross multiply
    342,483.75x = 542,283.75 × 542,283.75
  4. Step 4: Simplify right side
    342,483.75x = 294,071,665,514.06
  5. Step 5: Solve for x
    x = 294,071,665,514.06/342,483.75
  6. Step 6: Final answer
    x = 858,644.14

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.