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Finding the Third Proportional to 504,154 and 798,680

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Solution

The third proportional to 504,154 and 798,680 is: 1,265,267.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,154 : 798,680 = 798,680 : x
  2. Step 2: Convert to fraction form
    504,154/798,680 = 798,680/x
  3. Step 3: Cross multiply
    504,154x = 798,680 × 798,680
  4. Step 4: Simplify right side
    504,154x = 637,889,742,400
  5. Step 5: Solve for x
    x = 637,889,742,400/504,154
  6. Step 6: Final answer
    x = 1,265,267.64

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.