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Finding the Third Proportional to 235,437 and 508,780.50

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Solution

The third proportional to 235,437 and 508,780.50 is: 1,099,477.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,437 : 508,780.50 = 508,780.50 : x
  2. Step 2: Convert to fraction form
    235,437/508,780.50 = 508,780.50/x
  3. Step 3: Cross multiply
    235,437x = 508,780.50 × 508,780.50
  4. Step 4: Simplify right side
    235,437x = 258,857,597,180.25
  5. Step 5: Solve for x
    x = 258,857,597,180.25/235,437
  6. Step 6: Final answer
    x = 1,099,477.13

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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.