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Finding the Third Proportional to 406,984.50 and 884,034

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Solution

The third proportional to 406,984.50 and 884,034 is: 1,920,260.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,984.50 : 884,034 = 884,034 : x
  2. Step 2: Convert to fraction form
    406,984.50/884,034 = 884,034/x
  3. Step 3: Cross multiply
    406,984.50x = 884,034 × 884,034
  4. Step 4: Simplify right side
    406,984.50x = 781,516,113,156
  5. Step 5: Solve for x
    x = 781,516,113,156/406,984.50
  6. Step 6: Final answer
    x = 1,920,260.14

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.