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Finding the Third Proportional to 295,259 and 458,063

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Solution

The third proportional to 295,259 and 458,063 is: 710,636.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,259 : 458,063 = 458,063 : x
  2. Step 2: Convert to fraction form
    295,259/458,063 = 458,063/x
  3. Step 3: Cross multiply
    295,259x = 458,063 × 458,063
  4. Step 4: Simplify right side
    295,259x = 209,821,711,969
  5. Step 5: Solve for x
    x = 209,821,711,969/295,259
  6. Step 6: Final answer
    x = 710,636.13

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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.