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Finding the Third Proportional to 406,911.09 and 599,124.09

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Solution

The third proportional to 406,911.09 and 599,124.09 is: 882,132.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,911.09 : 599,124.09 = 599,124.09 : x
  2. Step 2: Convert to fraction form
    406,911.09/599,124.09 = 599,124.09/x
  3. Step 3: Cross multiply
    406,911.09x = 599,124.09 × 599,124.09
  4. Step 4: Simplify right side
    406,911.09x = 358,949,679,711.76
  5. Step 5: Solve for x
    x = 358,949,679,711.76/406,911.09
  6. Step 6: Final answer
    x = 882,132.94

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.