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Finding the Third Proportional to 297,637.50 and 702,471

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Solution

The third proportional to 297,637.50 and 702,471 is: 1,657,941.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,637.50 : 702,471 = 702,471 : x
  2. Step 2: Convert to fraction form
    297,637.50/702,471 = 702,471/x
  3. Step 3: Cross multiply
    297,637.50x = 702,471 × 702,471
  4. Step 4: Simplify right side
    297,637.50x = 493,465,505,841
  5. Step 5: Solve for x
    x = 493,465,505,841/297,637.50
  6. Step 6: Final answer
    x = 1,657,941.31

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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.