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Finding the Third Proportional to 351,013.50 and 501,601.50

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Solution

The third proportional to 351,013.50 and 501,601.50 is: 716,793.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,013.50 : 501,601.50 = 501,601.50 : x
  2. Step 2: Convert to fraction form
    351,013.50/501,601.50 = 501,601.50/x
  3. Step 3: Cross multiply
    351,013.50x = 501,601.50 × 501,601.50
  4. Step 4: Simplify right side
    351,013.50x = 251,604,064,802.25
  5. Step 5: Solve for x
    x = 251,604,064,802.25/351,013.50
  6. Step 6: Final answer
    x = 716,793.13

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.