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Finding the Third Proportional to 438,304.50 and 660,345.75

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Solution

The third proportional to 438,304.50 and 660,345.75 is: 994,871.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,304.50 : 660,345.75 = 660,345.75 : x
  2. Step 2: Convert to fraction form
    438,304.50/660,345.75 = 660,345.75/x
  3. Step 3: Cross multiply
    438,304.50x = 660,345.75 × 660,345.75
  4. Step 4: Simplify right side
    438,304.50x = 436,056,509,543.06
  5. Step 5: Solve for x
    x = 436,056,509,543.06/438,304.50
  6. Step 6: Final answer
    x = 994,871.17

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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.