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Finding the Third Proportional to 287,955 and 452,344.50

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Solution

The third proportional to 287,955 and 452,344.50 is: 710,581.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,955 : 452,344.50 = 452,344.50 : x
  2. Step 2: Convert to fraction form
    287,955/452,344.50 = 452,344.50/x
  3. Step 3: Cross multiply
    287,955x = 452,344.50 × 452,344.50
  4. Step 4: Simplify right side
    287,955x = 204,615,546,680.25
  5. Step 5: Solve for x
    x = 204,615,546,680.25/287,955
  6. Step 6: Final answer
    x = 710,581.68

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.