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Finding the Third Proportional to 452,655 and 680,116.50

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Solution

The third proportional to 452,655 and 680,116.50 is: 1,021,878.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,655 : 680,116.50 = 680,116.50 : x
  2. Step 2: Convert to fraction form
    452,655/680,116.50 = 680,116.50/x
  3. Step 3: Cross multiply
    452,655x = 680,116.50 × 680,116.50
  4. Step 4: Simplify right side
    452,655x = 462,558,453,572.25
  5. Step 5: Solve for x
    x = 462,558,453,572.25/452,655
  6. Step 6: Final answer
    x = 1,021,878.59

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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.