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Finding the Third Proportional to 295,416 and 458,298

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Solution

The third proportional to 295,416 and 458,298 is: 710,987.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,416 : 458,298 = 458,298 : x
  2. Step 2: Convert to fraction form
    295,416/458,298 = 458,298/x
  3. Step 3: Cross multiply
    295,416x = 458,298 × 458,298
  4. Step 4: Simplify right side
    295,416x = 210,037,056,804
  5. Step 5: Solve for x
    x = 210,037,056,804/295,416
  6. Step 6: Final answer
    x = 710,987.41

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.