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Finding the Third Proportional to 360,732 and 560,746

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Solution

The third proportional to 360,732 and 560,746 is: 871,661.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,732 : 560,746 = 560,746 : x
  2. Step 2: Convert to fraction form
    360,732/560,746 = 560,746/x
  3. Step 3: Cross multiply
    360,732x = 560,746 × 560,746
  4. Step 4: Simplify right side
    360,732x = 314,436,076,516
  5. Step 5: Solve for x
    x = 314,436,076,516/360,732
  6. Step 6: Final answer
    x = 871,661.17

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.