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Finding the Third Proportional to 328,153.50 and 506,232

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Solution

The third proportional to 328,153.50 and 506,232 is: 780,948.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,153.50 : 506,232 = 506,232 : x
  2. Step 2: Convert to fraction form
    328,153.50/506,232 = 506,232/x
  3. Step 3: Cross multiply
    328,153.50x = 506,232 × 506,232
  4. Step 4: Simplify right side
    328,153.50x = 256,270,837,824
  5. Step 5: Solve for x
    x = 256,270,837,824/328,153.50
  6. Step 6: Final answer
    x = 780,948.06

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.