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Finding the Third Proportional to 406,998 and 884,020.50

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Solution

The third proportional to 406,998 and 884,020.50 is: 1,920,137.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,998 : 884,020.50 = 884,020.50 : x
  2. Step 2: Convert to fraction form
    406,998/884,020.50 = 884,020.50/x
  3. Step 3: Cross multiply
    406,998x = 884,020.50 × 884,020.50
  4. Step 4: Simplify right side
    406,998x = 781,492,244,420.25
  5. Step 5: Solve for x
    x = 781,492,244,420.25/406,998
  6. Step 6: Final answer
    x = 1,920,137.80

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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.