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Finding the Third Proportional to 468,070 and 705,407

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Solution

The third proportional to 468,070 and 705,407 is: 1,063,086.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,070 : 705,407 = 705,407 : x
  2. Step 2: Convert to fraction form
    468,070/705,407 = 705,407/x
  3. Step 3: Cross multiply
    468,070x = 705,407 × 705,407
  4. Step 4: Simplify right side
    468,070x = 497,599,035,649
  5. Step 5: Solve for x
    x = 497,599,035,649/468,070
  6. Step 6: Final answer
    x = 1,063,086.79

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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.