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Finding the Third Proportional to 342,140 and 531,062

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Solution

The third proportional to 342,140 and 531,062 is: 824,302.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,140 : 531,062 = 531,062 : x
  2. Step 2: Convert to fraction form
    342,140/531,062 = 531,062/x
  3. Step 3: Cross multiply
    342,140x = 531,062 × 531,062
  4. Step 4: Simplify right side
    342,140x = 282,026,847,844
  5. Step 5: Solve for x
    x = 282,026,847,844/342,140
  6. Step 6: Final answer
    x = 824,302.47

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.