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Finding the Third Proportional to 623,705 and 948,680

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Solution

The third proportional to 623,705 and 948,680 is: 1,442,979.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    623,705 : 948,680 = 948,680 : x
  2. Step 2: Convert to fraction form
    623,705/948,680 = 948,680/x
  3. Step 3: Cross multiply
    623,705x = 948,680 × 948,680
  4. Step 4: Simplify right side
    623,705x = 899,993,742,400
  5. Step 5: Solve for x
    x = 899,993,742,400/623,705
  6. Step 6: Final answer
    x = 1,442,979.84

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.