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Finding the Third Proportional to 406,095 and 609,143

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Solution

The third proportional to 406,095 and 609,143 is: 913,715.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,095 : 609,143 = 609,143 : x
  2. Step 2: Convert to fraction form
    406,095/609,143 = 609,143/x
  3. Step 3: Cross multiply
    406,095x = 609,143 × 609,143
  4. Step 4: Simplify right side
    406,095x = 371,055,194,449
  5. Step 5: Solve for x
    x = 371,055,194,449/406,095
  6. Step 6: Final answer
    x = 913,715.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.