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Finding the Third Proportional to 297,913.50 and 702,666

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Solution

The third proportional to 297,913.50 and 702,666 is: 1,657,325.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,913.50 : 702,666 = 702,666 : x
  2. Step 2: Convert to fraction form
    297,913.50/702,666 = 702,666/x
  3. Step 3: Cross multiply
    297,913.50x = 702,666 × 702,666
  4. Step 4: Simplify right side
    297,913.50x = 493,739,507,556
  5. Step 5: Solve for x
    x = 493,739,507,556/297,913.50
  6. Step 6: Final answer
    x = 1,657,325.05

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