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Finding the Third Proportional to 269,897.06 and 403,358.91

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Solution

The third proportional to 269,897.06 and 403,358.91 is: 602,816.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,897.06 : 403,358.91 = 403,358.91 : x
  2. Step 2: Convert to fraction form
    269,897.06/403,358.91 = 403,358.91/x
  3. Step 3: Cross multiply
    269,897.06x = 403,358.91 × 403,358.91
  4. Step 4: Simplify right side
    269,897.06x = 162,698,407,251.20
  5. Step 5: Solve for x
    x = 162,698,407,251.20/269,897.06
  6. Step 6: Final answer
    x = 602,816.52

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.