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Finding the Third Proportional to 297,614.25 and 702,421.88

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Solution

The third proportional to 297,614.25 and 702,421.88 is: 1,657,838.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,614.25 : 702,421.88 = 702,421.88 : x
  2. Step 2: Convert to fraction form
    297,614.25/702,421.88 = 702,421.88/x
  3. Step 3: Cross multiply
    297,614.25x = 702,421.88 × 702,421.88
  4. Step 4: Simplify right side
    297,614.25x = 493,396,490,478.52
  5. Step 5: Solve for x
    x = 493,396,490,478.52/297,614.25
  6. Step 6: Final answer
    x = 1,657,838.93

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.