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Finding the Third Proportional to 295,571 and 458,603

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Solution

The third proportional to 295,571 and 458,603 is: 711,560.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,571 : 458,603 = 458,603 : x
  2. Step 2: Convert to fraction form
    295,571/458,603 = 458,603/x
  3. Step 3: Cross multiply
    295,571x = 458,603 × 458,603
  4. Step 4: Simplify right side
    295,571x = 210,316,711,609
  5. Step 5: Solve for x
    x = 210,316,711,609/295,571
  6. Step 6: Final answer
    x = 711,560.71

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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.