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Finding the Third Proportional to 915.68 and 1,459.58

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Solution

The third proportional to 915.68 and 1,459.58 is: 2,326.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    915.68 : 1,459.58 = 1,459.58 : x
  2. Step 2: Convert to fraction form
    915.68/1,459.58 = 1,459.58/x
  3. Step 3: Cross multiply
    915.68x = 1,459.58 × 1,459.58
  4. Step 4: Simplify right side
    915.68x = 2,130,379.71
  5. Step 5: Solve for x
    x = 2,130,379.71/915.68
  6. Step 6: Final answer
    x = 2,326.56

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.