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Finding the Third Proportional to 623,874 and 931,650

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Solution

The third proportional to 623,874 and 931,650 is: 1,391,261.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    623,874 : 931,650 = 931,650 : x
  2. Step 2: Convert to fraction form
    623,874/931,650 = 931,650/x
  3. Step 3: Cross multiply
    623,874x = 931,650 × 931,650
  4. Step 4: Simplify right side
    623,874x = 867,971,722,500
  5. Step 5: Solve for x
    x = 867,971,722,500/623,874
  6. Step 6: Final answer
    x = 1,391,261.25

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.