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Finding the Third Proportional to 295,698 and 452,416.50

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Solution

The third proportional to 295,698 and 452,416.50 is: 692,195.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,698 : 452,416.50 = 452,416.50 : x
  2. Step 2: Convert to fraction form
    295,698/452,416.50 = 452,416.50/x
  3. Step 3: Cross multiply
    295,698x = 452,416.50 × 452,416.50
  4. Step 4: Simplify right side
    295,698x = 204,680,689,472.25
  5. Step 5: Solve for x
    x = 204,680,689,472.25/295,698
  6. Step 6: Final answer
    x = 692,195.04

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.