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Finding the Third Proportional to 209,938.50 and 453,033

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Solution

The third proportional to 209,938.50 and 453,033 is: 977,614.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,938.50 : 453,033 = 453,033 : x
  2. Step 2: Convert to fraction form
    209,938.50/453,033 = 453,033/x
  3. Step 3: Cross multiply
    209,938.50x = 453,033 × 453,033
  4. Step 4: Simplify right side
    209,938.50x = 205,238,899,089
  5. Step 5: Solve for x
    x = 205,238,899,089/209,938.50
  6. Step 6: Final answer
    x = 977,614.39

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.