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Finding the Third Proportional to 347,688 and 733,357.50

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Solution

The third proportional to 347,688 and 733,357.50 is: 1,546,827.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,688 : 733,357.50 = 733,357.50 : x
  2. Step 2: Convert to fraction form
    347,688/733,357.50 = 733,357.50/x
  3. Step 3: Cross multiply
    347,688x = 733,357.50 × 733,357.50
  4. Step 4: Simplify right side
    347,688x = 537,813,222,806.25
  5. Step 5: Solve for x
    x = 537,813,222,806.25/347,688
  6. Step 6: Final answer
    x = 1,546,827.11

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.