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Finding the Third Proportional to 300,368 and 698,432

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Solution

The third proportional to 300,368 and 698,432 is: 1,624,032.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,368 : 698,432 = 698,432 : x
  2. Step 2: Convert to fraction form
    300,368/698,432 = 698,432/x
  3. Step 3: Cross multiply
    300,368x = 698,432 × 698,432
  4. Step 4: Simplify right side
    300,368x = 487,807,258,624
  5. Step 5: Solve for x
    x = 487,807,258,624/300,368
  6. Step 6: Final answer
    x = 1,624,032.05

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.