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Finding the Third Proportional to 295,603 and 458,585

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Solution

The third proportional to 295,603 and 458,585 is: 711,427.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,603 : 458,585 = 458,585 : x
  2. Step 2: Convert to fraction form
    295,603/458,585 = 458,585/x
  3. Step 3: Cross multiply
    295,603x = 458,585 × 458,585
  4. Step 4: Simplify right side
    295,603x = 210,300,202,225
  5. Step 5: Solve for x
    x = 210,300,202,225/295,603
  6. Step 6: Final answer
    x = 711,427.83

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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.