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Finding the Third Proportional to 401,724 and 606,702

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Solution

The third proportional to 401,724 and 606,702 is: 916,269.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,724 : 606,702 = 606,702 : x
  2. Step 2: Convert to fraction form
    401,724/606,702 = 606,702/x
  3. Step 3: Cross multiply
    401,724x = 606,702 × 606,702
  4. Step 4: Simplify right side
    401,724x = 368,087,316,804
  5. Step 5: Solve for x
    x = 368,087,316,804/401,724
  6. Step 6: Final answer
    x = 916,269.17

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.