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Finding the Third Proportional to 545,329.50 and 1,166,475

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Solution

The third proportional to 545,329.50 and 1,166,475 is: 2,495,122.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,329.50 : 1,166,475 = 1,166,475 : x
  2. Step 2: Convert to fraction form
    545,329.50/1,166,475 = 1,166,475/x
  3. Step 3: Cross multiply
    545,329.50x = 1,166,475 × 1,166,475
  4. Step 4: Simplify right side
    545,329.50x = 1,360,663,925,625
  5. Step 5: Solve for x
    x = 1,360,663,925,625/545,329.50
  6. Step 6: Final answer
    x = 2,495,122.54

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.