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Finding the Third Proportional to 458,748 and 674,586

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Solution

The third proportional to 458,748 and 674,586 is: 991,974.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,748 : 674,586 = 674,586 : x
  2. Step 2: Convert to fraction form
    458,748/674,586 = 674,586/x
  3. Step 3: Cross multiply
    458,748x = 674,586 × 674,586
  4. Step 4: Simplify right side
    458,748x = 455,066,271,396
  5. Step 5: Solve for x
    x = 455,066,271,396/458,748
  6. Step 6: Final answer
    x = 991,974.40

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