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Finding the Third Proportional to 235,132 and 507,436

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Solution

The third proportional to 235,132 and 507,436 is: 1,095,092.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,132 : 507,436 = 507,436 : x
  2. Step 2: Convert to fraction form
    235,132/507,436 = 507,436/x
  3. Step 3: Cross multiply
    235,132x = 507,436 × 507,436
  4. Step 4: Simplify right side
    235,132x = 257,491,294,096
  5. Step 5: Solve for x
    x = 257,491,294,096/235,132
  6. Step 6: Final answer
    x = 1,095,092.52

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.