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Finding the Third Proportional to 602,760 and 826,506

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Solution

The third proportional to 602,760 and 826,506 is: 1,133,307.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,760 : 826,506 = 826,506 : x
  2. Step 2: Convert to fraction form
    602,760/826,506 = 826,506/x
  3. Step 3: Cross multiply
    602,760x = 826,506 × 826,506
  4. Step 4: Simplify right side
    602,760x = 683,112,168,036
  5. Step 5: Solve for x
    x = 683,112,168,036/602,760
  6. Step 6: Final answer
    x = 1,133,307.07

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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.