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Finding the Third Proportional to 328,981.50 and 482,066

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Solution

The third proportional to 328,981.50 and 482,066 is: 706,385.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,981.50 : 482,066 = 482,066 : x
  2. Step 2: Convert to fraction form
    328,981.50/482,066 = 482,066/x
  3. Step 3: Cross multiply
    328,981.50x = 482,066 × 482,066
  4. Step 4: Simplify right side
    328,981.50x = 232,387,628,356
  5. Step 5: Solve for x
    x = 232,387,628,356/328,981.50
  6. Step 6: Final answer
    x = 706,385.10

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.