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Finding the Third Proportional to 213,673.50 and 455,948.63

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Solution

The third proportional to 213,673.50 and 455,948.63 is: 972,929.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,673.50 : 455,948.63 = 455,948.63 : x
  2. Step 2: Convert to fraction form
    213,673.50/455,948.63 = 455,948.63/x
  3. Step 3: Cross multiply
    213,673.50x = 455,948.63 × 455,948.63
  4. Step 4: Simplify right side
    213,673.50x = 207,889,148,639.39
  5. Step 5: Solve for x
    x = 207,889,148,639.39/213,673.50
  6. Step 6: Final answer
    x = 972,929.02

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.