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Finding the Third Proportional to 297,643.50 and 702,486

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Solution

The third proportional to 297,643.50 and 702,486 is: 1,657,978.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,643.50 : 702,486 = 702,486 : x
  2. Step 2: Convert to fraction form
    297,643.50/702,486 = 702,486/x
  3. Step 3: Cross multiply
    297,643.50x = 702,486 × 702,486
  4. Step 4: Simplify right side
    297,643.50x = 493,486,580,196
  5. Step 5: Solve for x
    x = 493,486,580,196/297,643.50
  6. Step 6: Final answer
    x = 1,657,978.69

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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.