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Finding the Third Proportional to 347,364 and 521,887.50

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Solution

The third proportional to 347,364 and 521,887.50 is: 784,095.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,364 : 521,887.50 = 521,887.50 : x
  2. Step 2: Convert to fraction form
    347,364/521,887.50 = 521,887.50/x
  3. Step 3: Cross multiply
    347,364x = 521,887.50 × 521,887.50
  4. Step 4: Simplify right side
    347,364x = 272,366,562,656.25
  5. Step 5: Solve for x
    x = 272,366,562,656.25/347,364
  6. Step 6: Final answer
    x = 784,095.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.