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Finding the Third Proportional to 458,088 and 673,452

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Solution

The third proportional to 458,088 and 673,452 is: 990,066.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,088 : 673,452 = 673,452 : x
  2. Step 2: Convert to fraction form
    458,088/673,452 = 673,452/x
  3. Step 3: Cross multiply
    458,088x = 673,452 × 673,452
  4. Step 4: Simplify right side
    458,088x = 453,537,596,304
  5. Step 5: Solve for x
    x = 453,537,596,304/458,088
  6. Step 6: Final answer
    x = 990,066.53

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.