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Finding the Third Proportional to 295,281 and 458,091

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Solution

The third proportional to 295,281 and 458,091 is: 710,670.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,281 : 458,091 = 458,091 : x
  2. Step 2: Convert to fraction form
    295,281/458,091 = 458,091/x
  3. Step 3: Cross multiply
    295,281x = 458,091 × 458,091
  4. Step 4: Simplify right side
    295,281x = 209,847,364,281
  5. Step 5: Solve for x
    x = 209,847,364,281/295,281
  6. Step 6: Final answer
    x = 710,670.05

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