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Finding the Third Proportional to 287,802 and 435,717

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Solution

The third proportional to 287,802 and 435,717 is: 659,652.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,802 : 435,717 = 435,717 : x
  2. Step 2: Convert to fraction form
    287,802/435,717 = 435,717/x
  3. Step 3: Cross multiply
    287,802x = 435,717 × 435,717
  4. Step 4: Simplify right side
    287,802x = 189,849,304,089
  5. Step 5: Solve for x
    x = 189,849,304,089/287,802
  6. Step 6: Final answer
    x = 659,652.48

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.