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Finding the Third Proportional to 583,680 and 838,656

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Solution

The third proportional to 583,680 and 838,656 is: 1,205,016.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,680 : 838,656 = 838,656 : x
  2. Step 2: Convert to fraction form
    583,680/838,656 = 838,656/x
  3. Step 3: Cross multiply
    583,680x = 838,656 × 838,656
  4. Step 4: Simplify right side
    583,680x = 703,343,886,336
  5. Step 5: Solve for x
    x = 703,343,886,336/583,680
  6. Step 6: Final answer
    x = 1,205,016.25

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.