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Finding the Third Proportional to 473,491.50 and 637,943.25

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Solution

The third proportional to 473,491.50 and 637,943.25 is: 859,511.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,491.50 : 637,943.25 = 637,943.25 : x
  2. Step 2: Convert to fraction form
    473,491.50/637,943.25 = 637,943.25/x
  3. Step 3: Cross multiply
    473,491.50x = 637,943.25 × 637,943.25
  4. Step 4: Simplify right side
    473,491.50x = 406,971,590,220.56
  5. Step 5: Solve for x
    x = 406,971,590,220.56/473,491.50
  6. Step 6: Final answer
    x = 859,511.92

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.