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Finding the Third Proportional to 347,428.25 and 519,096.50

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Solution

The third proportional to 347,428.25 and 519,096.50 is: 775,587.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,428.25 : 519,096.50 = 519,096.50 : x
  2. Step 2: Convert to fraction form
    347,428.25/519,096.50 = 519,096.50/x
  3. Step 3: Cross multiply
    347,428.25x = 519,096.50 × 519,096.50
  4. Step 4: Simplify right side
    347,428.25x = 269,461,176,312.25
  5. Step 5: Solve for x
    x = 269,461,176,312.25/347,428.25
  6. Step 6: Final answer
    x = 775,587.98

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.