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Finding the Third Proportional to 434,328.75 and 660,348.56

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Solution

The third proportional to 434,328.75 and 660,348.56 is: 1,003,986.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,328.75 : 660,348.56 = 660,348.56 : x
  2. Step 2: Convert to fraction form
    434,328.75/660,348.56 = 660,348.56/x
  3. Step 3: Cross multiply
    434,328.75x = 660,348.56 × 660,348.56
  4. Step 4: Simplify right side
    434,328.75x = 436,060,223,995.82
  5. Step 5: Solve for x
    x = 436,060,223,995.82/434,328.75
  6. Step 6: Final answer
    x = 1,003,986.55

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.