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Finding the Third Proportional to 397,664 and 602,284.50

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Solution

The third proportional to 397,664 and 602,284.50 is: 912,193.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,664 : 602,284.50 = 602,284.50 : x
  2. Step 2: Convert to fraction form
    397,664/602,284.50 = 602,284.50/x
  3. Step 3: Cross multiply
    397,664x = 602,284.50 × 602,284.50
  4. Step 4: Simplify right side
    397,664x = 362,746,618,940.25
  5. Step 5: Solve for x
    x = 362,746,618,940.25/397,664
  6. Step 6: Final answer
    x = 912,193.76

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.