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Finding the Third Proportional to 602,762 and 826,509

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Solution

The third proportional to 602,762 and 826,509 is: 1,133,311.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,762 : 826,509 = 826,509 : x
  2. Step 2: Convert to fraction form
    602,762/826,509 = 826,509/x
  3. Step 3: Cross multiply
    602,762x = 826,509 × 826,509
  4. Step 4: Simplify right side
    602,762x = 683,117,127,081
  5. Step 5: Solve for x
    x = 683,117,127,081/602,762
  6. Step 6: Final answer
    x = 1,133,311.53

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.