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Finding the Third Proportional to 448,563 and 668,956.50

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Solution

The third proportional to 448,563 and 668,956.50 is: 997,636.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,563 : 668,956.50 = 668,956.50 : x
  2. Step 2: Convert to fraction form
    448,563/668,956.50 = 668,956.50/x
  3. Step 3: Cross multiply
    448,563x = 668,956.50 × 668,956.50
  4. Step 4: Simplify right side
    448,563x = 447,502,798,892.25
  5. Step 5: Solve for x
    x = 447,502,798,892.25/448,563
  6. Step 6: Final answer
    x = 997,636.45

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.