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Finding the Third Proportional to 460,150 and 706,355

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Solution

The third proportional to 460,150 and 706,355 is: 1,084,292.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,150 : 706,355 = 706,355 : x
  2. Step 2: Convert to fraction form
    460,150/706,355 = 706,355/x
  3. Step 3: Cross multiply
    460,150x = 706,355 × 706,355
  4. Step 4: Simplify right side
    460,150x = 498,937,386,025
  5. Step 5: Solve for x
    x = 498,937,386,025/460,150
  6. Step 6: Final answer
    x = 1,084,292.92

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.