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Finding the Third Proportional to 360,680 and 560,684

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Solution

The third proportional to 360,680 and 560,684 is: 871,594.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,680 : 560,684 = 560,684 : x
  2. Step 2: Convert to fraction form
    360,680/560,684 = 560,684/x
  3. Step 3: Cross multiply
    360,680x = 560,684 × 560,684
  4. Step 4: Simplify right side
    360,680x = 314,366,547,856
  5. Step 5: Solve for x
    x = 314,366,547,856/360,680
  6. Step 6: Final answer
    x = 871,594.07

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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.