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Finding the Third Proportional to 307,663.50 and 465,740.25

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Solution

The third proportional to 307,663.50 and 465,740.25 is: 705,036.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,663.50 : 465,740.25 = 465,740.25 : x
  2. Step 2: Convert to fraction form
    307,663.50/465,740.25 = 465,740.25/x
  3. Step 3: Cross multiply
    307,663.50x = 465,740.25 × 465,740.25
  4. Step 4: Simplify right side
    307,663.50x = 216,913,980,470.06
  5. Step 5: Solve for x
    x = 216,913,980,470.06/307,663.50
  6. Step 6: Final answer
    x = 705,036.45

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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.