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Finding the Third Proportional to 262,827.50 and 399,434.50

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Solution

The third proportional to 262,827.50 and 399,434.50 is: 607,044.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,827.50 : 399,434.50 = 399,434.50 : x
  2. Step 2: Convert to fraction form
    262,827.50/399,434.50 = 399,434.50/x
  3. Step 3: Cross multiply
    262,827.50x = 399,434.50 × 399,434.50
  4. Step 4: Simplify right side
    262,827.50x = 159,547,919,790.25
  5. Step 5: Solve for x
    x = 159,547,919,790.25/262,827.50
  6. Step 6: Final answer
    x = 607,044.24

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.