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Finding the Third Proportional to 458,894 and 674,835

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Solution

The third proportional to 458,894 and 674,835 is: 992,391.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,894 : 674,835 = 674,835 : x
  2. Step 2: Convert to fraction form
    458,894/674,835 = 674,835/x
  3. Step 3: Cross multiply
    458,894x = 674,835 × 674,835
  4. Step 4: Simplify right side
    458,894x = 455,402,277,225
  5. Step 5: Solve for x
    x = 455,402,277,225/458,894
  6. Step 6: Final answer
    x = 992,391.00

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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.