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Finding the Third Proportional to 235,425.50 and 514,863

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Solution

The third proportional to 235,425.50 and 514,863 is: 1,125,977.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,425.50 : 514,863 = 514,863 : x
  2. Step 2: Convert to fraction form
    235,425.50/514,863 = 514,863/x
  3. Step 3: Cross multiply
    235,425.50x = 514,863 × 514,863
  4. Step 4: Simplify right side
    235,425.50x = 265,083,908,769
  5. Step 5: Solve for x
    x = 265,083,908,769/235,425.50
  6. Step 6: Final answer
    x = 1,125,977.89

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.