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Finding the Third Proportional to 296,052.75 and 715,862.25

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Solution

The third proportional to 296,052.75 and 715,862.25 is: 1,730,971.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,052.75 : 715,862.25 = 715,862.25 : x
  2. Step 2: Convert to fraction form
    296,052.75/715,862.25 = 715,862.25/x
  3. Step 3: Cross multiply
    296,052.75x = 715,862.25 × 715,862.25
  4. Step 4: Simplify right side
    296,052.75x = 512,458,760,975.06
  5. Step 5: Solve for x
    x = 512,458,760,975.06/296,052.75
  6. Step 6: Final answer
    x = 1,730,971.12

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.