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Finding the Third Proportional to 334,381.50 and 730,971

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Solution

The third proportional to 334,381.50 and 730,971 is: 1,597,931.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,381.50 : 730,971 = 730,971 : x
  2. Step 2: Convert to fraction form
    334,381.50/730,971 = 730,971/x
  3. Step 3: Cross multiply
    334,381.50x = 730,971 × 730,971
  4. Step 4: Simplify right side
    334,381.50x = 534,318,602,841
  5. Step 5: Solve for x
    x = 534,318,602,841/334,381.50
  6. Step 6: Final answer
    x = 1,597,931.11

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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.