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Finding the Third Proportional to 294,577 and 450,426

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Solution

The third proportional to 294,577 and 450,426 is: 688,728.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,577 : 450,426 = 450,426 : x
  2. Step 2: Convert to fraction form
    294,577/450,426 = 450,426/x
  3. Step 3: Cross multiply
    294,577x = 450,426 × 450,426
  4. Step 4: Simplify right side
    294,577x = 202,883,581,476
  5. Step 5: Solve for x
    x = 202,883,581,476/294,577
  6. Step 6: Final answer
    x = 688,728.52

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.