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Finding the Third Proportional to 458,068.50 and 983,853

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Solution

The third proportional to 458,068.50 and 983,853 is: 2,113,148.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,068.50 : 983,853 = 983,853 : x
  2. Step 2: Convert to fraction form
    458,068.50/983,853 = 983,853/x
  3. Step 3: Cross multiply
    458,068.50x = 983,853 × 983,853
  4. Step 4: Simplify right side
    458,068.50x = 967,966,725,609
  5. Step 5: Solve for x
    x = 967,966,725,609/458,068.50
  6. Step 6: Final answer
    x = 2,113,148.42

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.