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Finding the Third Proportional to 351,623.53 and 525,117.94

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Solution

The third proportional to 351,623.53 and 525,117.94 is: 784,216.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,623.53 : 525,117.94 = 525,117.94 : x
  2. Step 2: Convert to fraction form
    351,623.53/525,117.94 = 525,117.94/x
  3. Step 3: Cross multiply
    351,623.53x = 525,117.94 × 525,117.94
  4. Step 4: Simplify right side
    351,623.53x = 275,748,848,284.25
  5. Step 5: Solve for x
    x = 275,748,848,284.25/351,623.53
  6. Step 6: Final answer
    x = 784,216.14

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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.