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Finding the Third Proportional to 588,328.75 and 1,284,550

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Solution

The third proportional to 588,328.75 and 1,284,550 is: 2,804,671.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    588,328.75 : 1,284,550 = 1,284,550 : x
  2. Step 2: Convert to fraction form
    588,328.75/1,284,550 = 1,284,550/x
  3. Step 3: Cross multiply
    588,328.75x = 1,284,550 × 1,284,550
  4. Step 4: Simplify right side
    588,328.75x = 1,650,068,702,500
  5. Step 5: Solve for x
    x = 1,650,068,702,500/588,328.75
  6. Step 6: Final answer
    x = 2,804,671.20

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.