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Finding the Third Proportional to 680,688 and 974,304

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Solution

The third proportional to 680,688 and 974,304 is: 1,394,571.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    680,688 : 974,304 = 974,304 : x
  2. Step 2: Convert to fraction form
    680,688/974,304 = 974,304/x
  3. Step 3: Cross multiply
    680,688x = 974,304 × 974,304
  4. Step 4: Simplify right side
    680,688x = 949,268,284,416
  5. Step 5: Solve for x
    x = 949,268,284,416/680,688
  6. Step 6: Final answer
    x = 1,394,571.79

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.