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Finding the Third Proportional to 659,536 and 931,704

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Solution

The third proportional to 659,536 and 931,704 is: 1,316,186.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    659,536 : 931,704 = 931,704 : x
  2. Step 2: Convert to fraction form
    659,536/931,704 = 931,704/x
  3. Step 3: Cross multiply
    659,536x = 931,704 × 931,704
  4. Step 4: Simplify right side
    659,536x = 868,072,343,616
  5. Step 5: Solve for x
    x = 868,072,343,616/659,536
  6. Step 6: Final answer
    x = 1,316,186.45

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.