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Finding the Third Proportional to 291,266 and 452,445

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Solution

The third proportional to 291,266 and 452,445 is: 702,816.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,266 : 452,445 = 452,445 : x
  2. Step 2: Convert to fraction form
    291,266/452,445 = 452,445/x
  3. Step 3: Cross multiply
    291,266x = 452,445 × 452,445
  4. Step 4: Simplify right side
    291,266x = 204,706,478,025
  5. Step 5: Solve for x
    x = 204,706,478,025/291,266
  6. Step 6: Final answer
    x = 702,816.25

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.