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Finding the Third Proportional to 406,063.13 and 607,636.69

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Solution

The third proportional to 406,063.13 and 607,636.69 is: 909,273.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,063.13 : 607,636.69 = 607,636.69 : x
  2. Step 2: Convert to fraction form
    406,063.13/607,636.69 = 607,636.69/x
  3. Step 3: Cross multiply
    406,063.13x = 607,636.69 × 607,636.69
  4. Step 4: Simplify right side
    406,063.13x = 369,222,343,995.97
  5. Step 5: Solve for x
    x = 369,222,343,995.97/406,063.13
  6. Step 6: Final answer
    x = 909,273.27

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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.