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Finding the Third Proportional to 587 and 916.25

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Solution

The third proportional to 587 and 916.25 is: 1,430.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    587 : 916.25 = 916.25 : x
  2. Step 2: Convert to fraction form
    587/916.25 = 916.25/x
  3. Step 3: Cross multiply
    587x = 916.25 × 916.25
  4. Step 4: Simplify right side
    587x = 839,514.06
  5. Step 5: Solve for x
    x = 839,514.06/587
  6. Step 6: Final answer
    x = 1,430.18

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.