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Finding the Third Proportional to 468,118 and 706,319

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Solution

The third proportional to 468,118 and 706,319 is: 1,065,728.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,118 : 706,319 = 706,319 : x
  2. Step 2: Convert to fraction form
    468,118/706,319 = 706,319/x
  3. Step 3: Cross multiply
    468,118x = 706,319 × 706,319
  4. Step 4: Simplify right side
    468,118x = 498,886,529,761
  5. Step 5: Solve for x
    x = 498,886,529,761/468,118
  6. Step 6: Final answer
    x = 1,065,728.15

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.