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Finding the Third Proportional to 420,373 and 640,279.50

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Solution

The third proportional to 420,373 and 640,279.50 is: 975,224.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,373 : 640,279.50 = 640,279.50 : x
  2. Step 2: Convert to fraction form
    420,373/640,279.50 = 640,279.50/x
  3. Step 3: Cross multiply
    420,373x = 640,279.50 × 640,279.50
  4. Step 4: Simplify right side
    420,373x = 409,957,838,120.25
  5. Step 5: Solve for x
    x = 409,957,838,120.25/420,373
  6. Step 6: Final answer
    x = 975,224.00

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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.