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Finding the Third Proportional to 336,345.75 and 453,129.19

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Solution

The third proportional to 336,345.75 and 453,129.19 is: 610,461.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,345.75 : 453,129.19 = 453,129.19 : x
  2. Step 2: Convert to fraction form
    336,345.75/453,129.19 = 453,129.19/x
  3. Step 3: Cross multiply
    336,345.75x = 453,129.19 × 453,129.19
  4. Step 4: Simplify right side
    336,345.75x = 205,326,060,564.41
  5. Step 5: Solve for x
    x = 205,326,060,564.41/336,345.75
  6. Step 6: Final answer
    x = 610,461.29

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.