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Finding the Third Proportional to 652,215.50 and 975,324.50

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Solution

The third proportional to 652,215.50 and 975,324.50 is: 1,458,502.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,215.50 : 975,324.50 = 975,324.50 : x
  2. Step 2: Convert to fraction form
    652,215.50/975,324.50 = 975,324.50/x
  3. Step 3: Cross multiply
    652,215.50x = 975,324.50 × 975,324.50
  4. Step 4: Simplify right side
    652,215.50x = 951,257,880,300.25
  5. Step 5: Solve for x
    x = 951,257,880,300.25/652,215.50
  6. Step 6: Final answer
    x = 1,458,502.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.