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Finding the Third Proportional to 651,758 and 954,304

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Solution

The third proportional to 651,758 and 954,304 is: 1,397,291.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,758 : 954,304 = 954,304 : x
  2. Step 2: Convert to fraction form
    651,758/954,304 = 954,304/x
  3. Step 3: Cross multiply
    651,758x = 954,304 × 954,304
  4. Step 4: Simplify right side
    651,758x = 910,696,124,416
  5. Step 5: Solve for x
    x = 910,696,124,416/651,758
  6. Step 6: Final answer
    x = 1,397,291.82

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.