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Finding the Third Proportional to 602,748 and 826,488

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Solution

The third proportional to 602,748 and 826,488 is: 1,133,280.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,748 : 826,488 = 826,488 : x
  2. Step 2: Convert to fraction form
    602,748/826,488 = 826,488/x
  3. Step 3: Cross multiply
    602,748x = 826,488 × 826,488
  4. Step 4: Simplify right side
    602,748x = 683,082,414,144
  5. Step 5: Solve for x
    x = 683,082,414,144/602,748
  6. Step 6: Final answer
    x = 1,133,280.27

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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.