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Finding the Third Proportional to 595,918.69 and 765,141.19

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Solution

The third proportional to 595,918.69 and 765,141.19 is: 982,417.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    595,918.69 : 765,141.19 = 765,141.19 : x
  2. Step 2: Convert to fraction form
    595,918.69/765,141.19 = 765,141.19/x
  3. Step 3: Cross multiply
    595,918.69x = 765,141.19 × 765,141.19
  4. Step 4: Simplify right side
    595,918.69x = 585,441,036,808.91
  5. Step 5: Solve for x
    x = 585,441,036,808.91/595,918.69
  6. Step 6: Final answer
    x = 982,417.65

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.