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Finding the Third Proportional to 403,566.75 and 865,089

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Solution

The third proportional to 403,566.75 and 865,089 is: 1,854,411.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,566.75 : 865,089 = 865,089 : x
  2. Step 2: Convert to fraction form
    403,566.75/865,089 = 865,089/x
  3. Step 3: Cross multiply
    403,566.75x = 865,089 × 865,089
  4. Step 4: Simplify right side
    403,566.75x = 748,378,977,921
  5. Step 5: Solve for x
    x = 748,378,977,921/403,566.75
  6. Step 6: Final answer
    x = 1,854,411.89

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.