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Finding the Third Proportional to 460,138.50 and 706,279.50

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Solution

The third proportional to 460,138.50 and 706,279.50 is: 1,084,088.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,138.50 : 706,279.50 = 706,279.50 : x
  2. Step 2: Convert to fraction form
    460,138.50/706,279.50 = 706,279.50/x
  3. Step 3: Cross multiply
    460,138.50x = 706,279.50 × 706,279.50
  4. Step 4: Simplify right side
    460,138.50x = 498,830,732,120.25
  5. Step 5: Solve for x
    x = 498,830,732,120.25/460,138.50
  6. Step 6: Final answer
    x = 1,084,088.23

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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.