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Finding the Third Proportional to 371,633 and 560,933

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Solution

The third proportional to 371,633 and 560,933 is: 846,657.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,633 : 560,933 = 560,933 : x
  2. Step 2: Convert to fraction form
    371,633/560,933 = 560,933/x
  3. Step 3: Cross multiply
    371,633x = 560,933 × 560,933
  4. Step 4: Simplify right side
    371,633x = 314,645,830,489
  5. Step 5: Solve for x
    x = 314,645,830,489/371,633
  6. Step 6: Final answer
    x = 846,657.40

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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.