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Finding the Third Proportional to 460,342 and 706,551

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Solution

The third proportional to 460,342 and 706,551 is: 1,084,442.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,342 : 706,551 = 706,551 : x
  2. Step 2: Convert to fraction form
    460,342/706,551 = 706,551/x
  3. Step 3: Cross multiply
    460,342x = 706,551 × 706,551
  4. Step 4: Simplify right side
    460,342x = 499,214,315,601
  5. Step 5: Solve for x
    x = 499,214,315,601/460,342
  6. Step 6: Final answer
    x = 1,084,442.25

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.