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Finding the Third Proportional to 213,532 and 453,402.50

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Solution

The third proportional to 213,532 and 453,402.50 is: 962,730.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,532 : 453,402.50 = 453,402.50 : x
  2. Step 2: Convert to fraction form
    213,532/453,402.50 = 453,402.50/x
  3. Step 3: Cross multiply
    213,532x = 453,402.50 × 453,402.50
  4. Step 4: Simplify right side
    213,532x = 205,573,827,006.25
  5. Step 5: Solve for x
    x = 205,573,827,006.25/213,532
  6. Step 6: Final answer
    x = 962,730.77

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.