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Finding the Third Proportional to 297,617.63 and 447,106.50

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Solution

The third proportional to 297,617.63 and 447,106.50 is: 671,681.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,617.63 : 447,106.50 = 447,106.50 : x
  2. Step 2: Convert to fraction form
    297,617.63/447,106.50 = 447,106.50/x
  3. Step 3: Cross multiply
    297,617.63x = 447,106.50 × 447,106.50
  4. Step 4: Simplify right side
    297,617.63x = 199,904,222,342.25
  5. Step 5: Solve for x
    x = 199,904,222,342.25/297,617.63
  6. Step 6: Final answer
    x = 671,681.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.