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Finding the Third Proportional to 296,984 and 459,525

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Solution

The third proportional to 296,984 and 459,525 is: 711,025.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,984 : 459,525 = 459,525 : x
  2. Step 2: Convert to fraction form
    296,984/459,525 = 459,525/x
  3. Step 3: Cross multiply
    296,984x = 459,525 × 459,525
  4. Step 4: Simplify right side
    296,984x = 211,163,225,625
  5. Step 5: Solve for x
    x = 211,163,225,625/296,984
  6. Step 6: Final answer
    x = 711,025.60

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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.