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Finding the Third Proportional to 917.25 and 1,457.53

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Solution

The third proportional to 917.25 and 1,457.53 is: 2,316.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    917.25 : 1,457.53 = 1,457.53 : x
  2. Step 2: Convert to fraction form
    917.25/1,457.53 = 1,457.53/x
  3. Step 3: Cross multiply
    917.25x = 1,457.53 × 1,457.53
  4. Step 4: Simplify right side
    917.25x = 2,124,397.34
  5. Step 5: Solve for x
    x = 2,124,397.34/917.25
  6. Step 6: Final answer
    x = 2,316.05

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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.