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Finding the Third Proportional to 307,645.50 and 465,718.50

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Solution

The third proportional to 307,645.50 and 465,718.50 is: 705,011.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,645.50 : 465,718.50 = 465,718.50 : x
  2. Step 2: Convert to fraction form
    307,645.50/465,718.50 = 465,718.50/x
  3. Step 3: Cross multiply
    307,645.50x = 465,718.50 × 465,718.50
  4. Step 4: Simplify right side
    307,645.50x = 216,893,721,242.25
  5. Step 5: Solve for x
    x = 216,893,721,242.25/307,645.50
  6. Step 6: Final answer
    x = 705,011.84

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.