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Finding the Third Proportional to 328,769 and 495,043.50

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Solution

The third proportional to 328,769 and 495,043.50 is: 745,411.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,769 : 495,043.50 = 495,043.50 : x
  2. Step 2: Convert to fraction form
    328,769/495,043.50 = 495,043.50/x
  3. Step 3: Cross multiply
    328,769x = 495,043.50 × 495,043.50
  4. Step 4: Simplify right side
    328,769x = 245,068,066,892.25
  5. Step 5: Solve for x
    x = 245,068,066,892.25/328,769
  6. Step 6: Final answer
    x = 745,411.12

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.