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Finding the Third Proportional to 296,264.25 and 656,588.25

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Solution

The third proportional to 296,264.25 and 656,588.25 is: 1,455,147.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,264.25 : 656,588.25 = 656,588.25 : x
  2. Step 2: Convert to fraction form
    296,264.25/656,588.25 = 656,588.25/x
  3. Step 3: Cross multiply
    296,264.25x = 656,588.25 × 656,588.25
  4. Step 4: Simplify right side
    296,264.25x = 431,108,130,038.06
  5. Step 5: Solve for x
    x = 431,108,130,038.06/296,264.25
  6. Step 6: Final answer
    x = 1,455,147.32

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.