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Finding the Third Proportional to 334,271 and 731,702

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Solution

The third proportional to 334,271 and 731,702 is: 1,601,657.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,271 : 731,702 = 731,702 : x
  2. Step 2: Convert to fraction form
    334,271/731,702 = 731,702/x
  3. Step 3: Cross multiply
    334,271x = 731,702 × 731,702
  4. Step 4: Simplify right side
    334,271x = 535,387,816,804
  5. Step 5: Solve for x
    x = 535,387,816,804/334,271
  6. Step 6: Final answer
    x = 1,601,657.99

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.