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Finding the Third Proportional to 406,421.30 and 624,935.25

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Solution

The third proportional to 406,421.30 and 624,935.25 is: 960,934.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,421.30 : 624,935.25 = 624,935.25 : x
  2. Step 2: Convert to fraction form
    406,421.30/624,935.25 = 624,935.25/x
  3. Step 3: Cross multiply
    406,421.30x = 624,935.25 × 624,935.25
  4. Step 4: Simplify right side
    406,421.30x = 390,544,066,692.56
  5. Step 5: Solve for x
    x = 390,544,066,692.56/406,421.30
  6. Step 6: Final answer
    x = 960,934.06

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.