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Finding the Third Proportional to 419,313 and 558,657

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Solution

The third proportional to 419,313 and 558,657 is: 744,307.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,313 : 558,657 = 558,657 : x
  2. Step 2: Convert to fraction form
    419,313/558,657 = 558,657/x
  3. Step 3: Cross multiply
    419,313x = 558,657 × 558,657
  4. Step 4: Simplify right side
    419,313x = 312,097,643,649
  5. Step 5: Solve for x
    x = 312,097,643,649/419,313
  6. Step 6: Final answer
    x = 744,307.10

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.