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Finding the Third Proportional to 219,276 and 472,389.75

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Solution

The third proportional to 219,276 and 472,389.75 is: 1,017,676.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,276 : 472,389.75 = 472,389.75 : x
  2. Step 2: Convert to fraction form
    219,276/472,389.75 = 472,389.75/x
  3. Step 3: Cross multiply
    219,276x = 472,389.75 × 472,389.75
  4. Step 4: Simplify right side
    219,276x = 223,152,075,905.06
  5. Step 5: Solve for x
    x = 223,152,075,905.06/219,276
  6. Step 6: Final answer
    x = 1,017,676.70

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.