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Finding the Third Proportional to 418,316 and 646,369

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Solution

The third proportional to 418,316 and 646,369 is: 998,749.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,316 : 646,369 = 646,369 : x
  2. Step 2: Convert to fraction form
    418,316/646,369 = 646,369/x
  3. Step 3: Cross multiply
    418,316x = 646,369 × 646,369
  4. Step 4: Simplify right side
    418,316x = 417,792,884,161
  5. Step 5: Solve for x
    x = 417,792,884,161/418,316
  6. Step 6: Final answer
    x = 998,749.47

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.